Corrections to  Second Edition, 2nd revision (July 2015)   of

Student Friendly Quantum Field Theory

 

Note: 1st edition and 2nd edition (prior versions) users also need to check this 2nd edition, 2nd revision corrections page for additional corrections.

 

Sorted by Page Number:  This Page

Sorted by Date Posted:  Click Here

 

 

 

Significant Corrections (may impact learning process)

 

 

Pg

Chap

Date Posted

Significant Correction

Reported by

(blank = the author)

10

1

Oct 13, 2017

Prob 6, 3rd line: before “determine”, insert - assuming p_x is a single term, -

Harm van der Lek

11

2

Aug 6, 2015

Sect. 2.1.1, point 2. After “mass”, insert - at rest -

Michael Heiss

21,31

2

May 31, 2017

I was a bit sloppy in two blocks near the ends of Wholeness Charts 2-2 and 2-5. See corrections at Changes to Charts 2-2 and 2-5. As I noted in the text, it may be best not to get too deeply into Chart 2-2, as it is primarily a summary of classical variational mechanics, and the changes made here relate to subtle aspects of that theory, which are not so relevant for QFT.

Allan Tameshtit

23

2

Aug 6, 2015

Box 2-2. My purpose in this box was to give a derivation of (B2-2.3) that was much simpler than that in other books. There are some subtleties involved, but it is best not to worry about them until after you have mastered QFT. If at that time, you feel up to it, check out Box2_2_comments

 

27

2

Apr 6, 2016

Eq (2-37). Some further explanation plus some changes related to (2-37) are in order. See  Comments on (2-37).

Tom Bartholet

30

2

Aug 6, 2015

For versions prior to July 2015, this was OK. For the July 2015 version, equations (2-42) and (2-43). The “i” subscript on delta would be better as a superscript. Ultimately, it doesn’t really matter, but it helps the parallel with (2-44) if “i” is superscripted.

 

50

3

May 18, 2018

Footnote 1: This change will not affect the learning process, but I list it here because it cites a different, more recent article. Both the prior cited article and this one are suited for seasoned practitioners of QFT, rather new learners.

“These solutions have the familiar ± i(ω k t  k.x) form in the exponent, but functions of alternative form ± i(ω k t + k.x) in the exponent also solve the Klein-Gordon equation. I call these alternative forms “supplemental solutions”. These solutions, although not mathematically independent from the traditional solutions, result in different operators that can modify QFT in key ways. Supplemental solutions are discussed in R. D. Klauber, “A symmetry for Resolution of the Gauge Hierarchy Problem without SUSY, Null Higgs Condensate Energy, and Null Zero Point Energy”, http://arxiv.org/abs/1802.03277.”

 

Some related changes elsewhere in the text are listed in the “Minor Corrections” list further below.

 

54

3

Aug 17, 2015

The k’s in the numerators (two places) in the second line of (3-52) should have superscripts, not subscripts. (3-52) as written, strictly speaking, is still correct, as there are two k's with subscript i multiplied, which equal two k's with superscript i multiplied. But this correction should eliminate confusion.

Steffen Leger

61

3

May 8, 2017

Mid page, after 2nd paragraph after “Caveat”.

If normal ordering were only used in QFT to get a Delta E energy level (as that is all that is relevant in classical theory) one might concede some justification for it. However, as one will see in Chap 4 (pg. 112 after “End of Derivation”), it is also commonly invoked to get the correct charge operator for spin 1/2 fields. Otherwise, the vacuum would have an infinite charge. Since we have no theories where that can simply be subtracted, it is hard to justify use of normal ordering for charge derivation, and one’s confidence in it is further eroded.

Note that on pg. 112, I present an alternative derivation to the charge operator that does not depend on normal ordering.

 

73

3

June 16, 2016

1st line after (3-122). The first “factor” in (3-122) is GF of (3-120). The second “factor” in (3-122) is HF of (3-120). In teaching a QFT course, I was asked by a student “where did the GF and HF of (3-120) go?”

Lou Biegeleisen

74

3

Mar 2, 2016

Last line on page: After the comma, insert  we have the Cauchy integral formula -

Tom Bartholet

76

3

Sept 29, 2016

The line after (3-140). It is correct as is, but maybe easier to understand if we change “the route” to  which route (loop) -

 

79

3

Apr 1, 2016

In (3-150), change partial time derivative to total derivative. In next line, after “field,” insert  with the aid of Box 2.1, pg. 22,  

Tom Bartholet

111

4

May 16, 2016

Sect. 4.6.3, last sentence. Change “d_r dagger” to  d_r - . Change “annihilates that state” to - results in the vacuum |0 > -

Tom Bartholet

114

4

Aug 24, 2018

Eq (4-113): After the first equal sign all s and p symbols except in the ket should be primed. After the 2nd equal sign, under the summation sign, delete s and p. Remove the bracket so the summation includes the ket.

Ezequiel Lozano

114

4

Aug 24, 2018

Eq (4-114): After the first equal sign, move the ket inside the brackets and delete the s and p under the summation sign. After the 2nd equal sign, insert a summation over r and a factor of m/E_p. In the 2nd row, delete the summation sign.

Ezequiel Lozano

 

127

4

May 16, 2016

2nd paragraph of Conclusion #1:  Insert at beginning of paragraph:  For Fig. 4-5(b), . After “Changing v”, insert  (without aligning it with S)  After “Therefore,”, insert  in Fig. 4-5(b) -

Tom Bartholet

142

5

June 16, 2016

(5-35) top row. This is correct as it is, since dummy indices can be used interchangeably. However, it can be easier to understand if the mu and nu superscripts on the epsilons on the RHS of each equal signed are switched.

Tom Bartholet

142

5

June 16, 2016

(5-36). The r’s after the second equal sign should be underlined, as there is no sum.

Tom Bartholet

147

5

June 16, 2016

(5-50). The summations should only be over r, not k. The integral is over the range of k.

Tom Bartholet

158

5

May 16, 2016

Wholeness Chart 5-4, 4th row, 2nd column on page. Put a bar over rho. Two places. (rho is an expectation value not an operator here.)

Tom Bartholet

159

5

May 16, 2016

Wholeness Chart 5-4, 2nd row up from bottom on page: After “two commutators” insert - /anti-commutators -

Tom Bartholet

160

5

May 16, 2016

Wholeness Chart 5-4, top row on page: After “two commutators” insert - /anti-commutators -

Tom Bartholet

169

6

July 7, 2016

Eq. (6-14). The arguments for the vector and tensor on the RHS of their respective equal signs should not have a Lambda^alpha_beta before the x^beta. Two places. (And it might look neater to change the beta on the x to an alpha, but not essential.)

Tom Bartholet

176

6

Aug 22, 2016

Eq (6-41). The first minus sign (before N_b) should be a plus sign.

Tom Bartholet

184

7

June 22, 2016

Eq. (7-8). The minus sign in front of “e” should be a plus.

 

186

7

Oct 27, 2016

(7-19): Comparing with (7-16), one might wonder about the change in order of the QFT field operators (photon and fermion) after the equal sign. The order here is not important, as fields associated with different types of particles commute. Amu commutes with psi here.

Tom Bartholet

198

7

Sept 22, 2016

Sentence just above Sect 7.5.2, change “(7-62)” to - (7-63) -.

Tom Bartholet

205

7

May 9, 2017

First paragraph following (7-82), “C3D4= - D3C4” should be “C3D4= - D4C3”

Tom Bartholet

211

7

Nov 11, 2016

(7-109): The first three terms on the second line should have the Nc operator in front of them.

(7-110). The last term in the top row should have the Nc operator in front.

Tom Bartholet

217

8

May 9, 2017

(8-9), after 2nd equal sign: The Sfi should be inside the Sigma and all f except that in the bra should be primed.

Tom Bartholet

231

8

May 9, 2017

(8-74) and (8-75) both need to insert “i” in front of the expression for SF

Tom Bartholet

231

8

Jan 16, 2017

3rd line after (8-79): Change “denotes antiparticles.” to   is sometimes used in Feynman diagrams for virtual antiparticles. It is just a symbol. The overbar here is not related to adjoint fields.  

Vasudev Godbole

235

8

May 9, 2017

(8-89): Insert a delta function with argument zero on the RHS outside the integral.

Tom Bartholet

239

8  

May 12, 2017

First line: insert “ e” after equal sign.

Tom Bartholet

247

8

June 16, 2016

2nd paragraph up from bottom of page. At end of sentence, add   or to interactions that can be renormalized away (not treated in this text).  

 

271

10

May 8, 2017

Sect. 10.2.4. Actually, the Fulling-Davies-Unruh effect is not related to the 1/2 quanta, the higher order corrections, nor the 3 virtual particle bubbles, but to a more advanced concept in QFT related to time dependent Hamiltonians. Finding it in an experiment would not really be a proof of zero point energy in the usual 1/2 quanta sense.

 

274

10

June 16, 2016

(10-8), top row. Don’t hold up your study of QFT by spending much time on this fairly advanced material. Someday I may re-write this section with these changes. Each 1/2, should be multiplied by a delta(0), i.e., a Dirac delta function with argument zero. This also applies to every relation on the next 2-3 pages with a 1/2 term. See links on book website for Continuous Solutions for reasons why. From that one could also see why comments in this part of the text for single 1/2 quanta particle wave packet in “all space” should refer to “unit volume”.

 

279

10

July 16, 2018

Add the following at the bottom of the page.

10.8.2 Other Methods of Calculating Vacuum Energy

As pointed out by J. Martin [Everything you always wanted to know about the cosmological constant problem (but were afraid to ask), C. R. Physique, 13, 566665 (2012)], the cutoff method is not Lorentz invariant, since the energy Λ is different in different frames, and therefore, though simple in concept, is not valid. Martin uses a Lorentz invariant evaluation of (10-20) and arrives at a vacuum energy density “only” 1055 times greater than that observed

 

 

281-283

10

June 16, 2016

WhCh 10-2. Wherever there is a continuous solutions form with 1/2 inside the integral, it should be a multiplied by a factor delta(0), i.e., a Dirac delta function with argument zero. See links on book website for Continuous Solutions for reasons why.

 

285b

10

July 14, 2018

Add Appendix F, found at Appendix F:Vacuum Fluctuations Update . This covers experiments and theoretical work related to the vacuum since the original book publication plus a review of the vacuum’s possible role in spontaneous emission.

 

298-299

11

June 13, 2017

(11-42) insert minus sign after 2nd equal sign. (11-44). same change (minus sign) after each equal sign.

Tom Bartholet

310-311

12

Aug 21, 2017

(12-16): delete the minus sign after the equal sign (2 places).

((12-18), 4th line: change minus sign on LHS to plus sign

(12-21), last line: change minus sign on LHS to plus sign

Tom Bartholet

310

12

Sept 11, 2017

Comment (not correction) on (12-17) RHS: The superscript (2) might be confusing. Here the notation, along with the subscripts, means we take the 2nd order in e form of the amplitudes but use the modified versions for e, photon propagator, and vertex gamma matrix (as described in under bracket note).

Tom Bartholet

323

13

Oct 13, 2017

Fig. 13-1: Under the first diagram, insert ieo2 before Pi. Under the 2nd diagram, insert ieo2 before Sigma. In the 3rd diagram, insert ieo3 before Lambda.

Add to text above the figure: Applying Feynman’s rules in Fig. 13-1, excluding the incoming and outgoing particles, yields the amplitudes under each diagram, where the symbols are defined in (13-1) to (13-3).

Tom Bartholet

328

13

Oct 13, 2017

7th line down on page: Change “each of these terms must equal zero” to - these terms must sum to zero -

Tom Bartholet

337a

13

Oct 13, 2017

(13-83): both lines need a summation over r symbol inserted

(13-84): needs same summation over r inserted

Tom Bartholet

337a

13

Oct 13, 2017

Paragraph after (13-84): the operator atilde_r(k) should have a summation over r symbol in front of it. Same for adagger-tilde_r(k).

Tom Bartholet

340

14

Aug14, 2017

(14-1), 1st line: Delete “p’ = “

Vasudev Godbole

353

14

Dec 7, 2017

Wholeness Chart 14-2, second row, last (Chapter) column: After “8”, insert  pg. 235 -. After that, insert  9, pg. 257 -

Tom Bartholet

363

14

Dec 7, 2017

2nd paragraph on pg beginning with “Moreover..”: Move this entire sentence down below eq (14-86) and just above the paragraph beginning “Bottom line”. Also, at the end of the sentence, add  in light of (14-86). -

Tom Bartholet

370

14

Dec 7, 2017

Wholeness Chart 14-4, col (VII), 2nd row: After “A=” insert a minus sign. Wholeness Chart 14-5, col (VII), 2nd row:  Anth should approach negative infinity.

Tom Bartholet

370

14

Dec 7, 2017

Wholeness Chart 14-4, col (X): subscripts “e0 Mod“ should have “2nd “ after them. 2 places.   Wholeness Chart 14-5, col (X): subscripts “e0 Mod“ should have “nth “ after them. 2 places.

Tom Bartholet

371

14

Dec 7, 2017

Wholeness Chart 14-4, col (X): “(ZV2nd)” needs to be squared.

Tom Bartholet

381

15

Dec 15, 2017

Pedagogic improvement: Change last sentence to

    We will only retain the leading log terms (see Sect. 15.1.15, pg. 378), with Λ2 >> k 2. As shown in the appendix (see Chap 15 addition to appendix), the first two terms in the integral of (15-44) and the two directly below them are of order 1, so relative to Λ2 (and k2, since we are assuming k2 >> m2 where m2>>1), they can be ignored. Doing this, we get (15-45).

Tom Bartholet

 

384

15

May 8, 2017

I have recently realized that cut-off regularization has a more obvious reason for why it doesn’t work. It is not Lorentz invariant, as the upper limit on our integral (max energy) is not Lorentz invariant (energy for the same object changes as seen in different frames). The other three regularization methods discussed are all Lorentz invariant, and they all produce the correct result.

 

384

15

Feb 23, 2018

Paragraph above (15-55): After “as” insert “in (15-55).” Change the parenthetical remark to a sentence reading as follows:

-        In order for this to work, we have to change the propagator of the so-called heavy particle a bit. We give it a negative sign and keep the “m” in the numerator without changing it to “Λ”, like we do in the denominator. This makes the whole procedure work mathematically (which is our goal), even though it tarnishes the analogy to a heavy particle propagator a bit. The goal mathematically is first to perturb the propagator by adding a term to it containing Λ, then take Λ to infinity. For this, the form chosen in (15-55) works best. -

Tom Bartholet

 

403

16

Apr 11, 2018

After the title of Sect. 16.1.1, first line: before “field” insert the word  “potential”.

Tom Bartholet

403

16

Apr 11, 2018

Line above (16-6): change “field” to “potential”

Tom Bartholet

403

16

Apr 11, 2018

Line above (16-7): change “field” to “potential”

Tom Bartholet

408

16

Apr 11, 2018

3rd line above (16-23): Change (16-21) to (16-20).

Tom Bartholet

409

16

Apr 11, 2018

3rd line after (16-27): Change the second “operators” to “3-momenta”.

Tom Bartholet

410

16

Apr 11, 2018

Sect. 16.2.6 , next to last paragraph: At the end of the paragraph insert “Note the needed interchanges are those that place the 3-momenta in the same order in both sub-amplitudes. This is what is meant by “appropriate normal order” in Feynman rule #9.”

Tom Bartholet

427

16

Apr18, 2018

Eq (16-114): There is no error here, but a time saving short cut can be included by adding the following sentence before the equation.

“The quickest way to prove the first part of the 2nd line, without searching through integral tables, is to simply take its derivative with respect to z and show it equals the integrand on the RHS of line 1.”

Tom Bartholet

459

17

July 20, 2018

Last sentence on page, replace with: - Writing out spinor indices, we get the 1st row of (17-74). Taking the matrix elements as their equivalent scalars, we can re-arrange as the 2nd row. -

Tom Bartholet

460

17

July 21, 2018

Wholeness Chart 17-5, 2nd interaction: Primes and non-primes on s and p should be switched.

 

462

17

Oct 25, 2017

(17-94): Notation under the Sigmas should be r′1 = 1,  r′2 = 1 … r1 = 1, r2 = 1, respectively.

John Davidson

480

17

May 8, 2017

(17-175): the numerators should all have a “ + m” in them.

Zhang Juenjie

498

18

Aug 3, 2018

Fig. 18-6: It is probably less confusing if the subscript on delta x is changed from “0,1,2” to - 1 -, as there is no space slicing of the x_0 and x_2 axes, since the initial and final events are fixed.

Tom Bartholet

499

18

Aug 3, 2018

At end of 1st paragraph on page, add.  - Here there is only one time slice (at t1), with two time intervals of Δt, since time is fixed at t0, t2; and a single Δx value of Δx1. -

Tom Bartholet

501

18

Aug 3, 2018

Margin note by (18-37): Change “3” to  2 -.

Tom Bartholet

 

 

 

Back to home page

 

Minor Corrections (should not impact learning process)

 

Pg

Chap

Date Posted

Minor Correction

Reported by

x

 

Sept 30, 2016

Acknowledgements for 2n Ed, end of first paragraph. Move comma after “them” to after “thank”

 

xi

Pre-face

Oct 19, 2015

7th line: after “orthodox” insert  (pedagogically) -

 

2

1

Sept 30, 2016

2nd line above (1-1), delete comma at end of the line

 

11

2

Feb 23, 2018

In section 2.1.1, in the 2nd law of nature, change “The energy of a particle of mass is equal to” to “The energy of a massive particle is equal to”.

Ian Marshall

13

2

Feb 23, 2018

In the 3rd paragraph of section 2.1.5, change “6.58 × 10-22 Mev-s” to “6.58 × 10-22 MeV-s”.

Ian Marshall

20

2

Sept 1, 2015

Wholeness Chart 2-2, left column, 4th row up from bottom: Change “Hamiltonian’s Equations of Motion” to -Hamilton’s Equations of Motion” -

Tom Bartholet

23

2

June 16, 2016

Box 2-2. Eq (B2-2.3) number not aligned.

 

43

3

Oct 11, 2016

Eq (3-9). May be good to insert “This is a solution given En2 - pn2 = m2”.

Jeroen Spandaw

45

3

Oct 25, 2017

Just above (B3-1.7): after “probability current”, insert  (density) -

Qingzhong Wu

50

3

Mar 23, 2016

Eq. (3-37). Delete extra RH parenthesis on eq number.

Juan José Bigeón

51

3

Sept 10, 2015

Sect. 3.2.4, 1st line: change “of this and” to  of this chapter and  

Tom Bartholet

57

3

Feb 23, 2018

In the line above (3-66) change bar underlined |phi> to |phi>.

Ian Marshall

57

3

Feb 23, 2018

After the end of (3-66), replace the full stop with a comma.

Ian Marshall

61

3

Oct 25, 2017 addition to

May 8, 2017 note

Normal ordering is also commonly used for another (more complicated) matter, as discussed in pgs. 208-209. I discuss an alternative way to handle that issue in those pages.

 

65

3

Aug 6, 2015

Mid page, Note on Nomenclature line: “solution” should have an - s -  on the end.

 

73

3

Feb 23, 2018

In the last line of (3-122) replace <0|phi-(x)|phi> with (factor) <0|phi-(x)|phi>

Ian Marshall

74

3

Feb 23, 2018

In the first line of (3-130) replace eikxeik′y with eik′xeiky.

Ian Marshall

79

3

Aug 6, 2015

Mid page, Odds and Ends section: After “3-1” insert - (pg. 65) -. After “3-2”, insert - (pg. 68) -.

 

82

3

Feb 23, 2018

In the line above (3-165) replace “such terms leads to” with “such terms and then summing them leads to”.

Ian Marshall

82

3

Feb 23, 2018

In problem 3, after “negative” add “unity”.

Ian Marshall

87

4

Jan 25, 2016

3rd line from bottom of page: change “one the” to  one of the -

Pavel Fadeev

88

4

June 21, 2016

2nd paragraph up from bottom, first sentence. Exponent +/- kx should be =+/- ikx.

Lou Biegeleisen

89

4

May 18, 2018

Footnote 1: Change to read as follows.

“Similar to that mentioned in the footnote on pg. 50 in Chap. 3 for scalars, there are supplemental forms for the solutions to the Dirac equation having exponents of  ± i(E p t + p.x), instead of ± i(E p t  p.x), but these have been widely ignored. The possible impact on QFT of including these solution forms in the theory is discussed in the reference cited in the aforementioned footnote.”

 

96

4

Aug 6, 2015

4th margin note: subscript 1 on u should not be italic

 

107

4

Aug 6, 2015

Box 4-3. Equation numbers not aligned.

 

108

4

May 18, 2018

Footnote 1: Change “footnote on pg. 50” to  footnotes on pgs. 50 and 89  

Change “unused” to  alternative forms of the -

 

127

4

Sept 30, 2016

mid page. bold 1/2 before ket should be not bold

 

129

4

Dec 26, 2018

Eqs (4-186) and (4-187): TBA should be TAB. Center of both equations.

Antonio Ferreiro Chao

131

4

Sept 30, 2016

In title of Sect 4.14.5, “The” should not be capitalized

 

143

5

June 16, 2016

Footnote paragraph is indented and shouldn’t be.

 

144

5

Sept 23, 2016

(5-42). It will be better here if we take A^mu to be A_mu. It doesn’t matter which we use, but later in Chap 7 we do it with a subscript mu, not a superscript. So we change it here to be consistent

Tom Bartholet

147

5

Jan 25, 2016

Sect. 5.3.1, change “pg. 155” to ‘ pg. 156 -

Pavel Fadeev

160

5

Aug 6, 2015

4th row down in the wholeness chart, last line: Delete open parenthesis at beginning of the line.

 

166

6

Aug 6, 2015

6th line down: Change “functional” to - the function -.

 

170

6

Oct 7, 2015

First margin note on page: eliminate underline on e’.

Michael Koren

175

6

Aug3, 2018

(6-34): In argument for j^mu, change subscript on phi from “,mu” to - , nu - .

Tom Bartholet

177

6

June 22, 2016

Top line on page: After “this means” insert - using the LHS of (6-39) - .

 

177

6

Aug 22, 2016

In the third line of Sext 6.6.1, it is better to have the page range for 135-141 rather than 138-141.

Tom Bartholet

184

7

Sept 22, 2016

Margin note for eq (7-6) should be - gauge - instead of “gage”

Tom Bartholet

188

7

Aug 6, 2015

Wholeness Chart 7-1. 4th row up from bottom, Operators column. Superscript S is wrong font.

 

199

7

Nov 7, 2016

Sect. 7.5.3, 2nd paragraph, beginning: After “Fig. 7-1” insert - and Wholeness Chart 7-2 -

Tom Bartholet

211

7

Aug 6, 2015

1st line above (7-110): insert a comma after “them”.

 

211

7

Aug 6, 2015

(7-110), 2nd line: Boxes with 8, 9, and 10 in them should be above the terms, rather than below them.

 

221

8

May 9, 2017

(8-24): “Bhabba” should be “Bhabha”

Tom Bartholet

224

8

May 9, 2017

(8-42), “r” subscript of “ν” should be primed

Tom Bartholet

225

8

May 9, 2017

Fig. 8-3 would probably be better with the first vertex on each side labeled x2 and the second x1, as it would track the text better. But it is common to not write in the coordinate labels at each vertex in Feynman diagrams, so the reader needs to get accustomed to the practice.

Tom Bartholet

231

8

May 9, 2017

(8-76) and (8-78): Dmu nu should be DF mu nu

Tom Bartholet

235

8

May 9, 2017

End of 1st paragraph in Sect 8.5, change “delta function” to “Dirac delta function”.

Tom Bartholet

236

8

May 9, 2017

3rd Feynman rule: iSF should be iSF (p)

Tom Bartholet

241

8

May 9, 2017

First margin note should refer to Chap. 16, not Chap. 17.

Tom Bartholet

219

8

Dec 8, 2016

This is not a correction, but an added problem.

Box 8-1. At the end of the box, add “Do Prob. 18 for more insight on this.” Then, add, at the end of the chapter.

Prob. 18. Draw the mass shell for a photon. Suppress the k2 and k3 dimensions, to make it easier. That is, plot E vs k1. Does it touch the origin? Are the sides of the shell, for a photon, straight lines? Does the mass shell for a massive particle like that shown in Box 8-1 approach that of a photon asymptotically for very high E (speed approaching c)?

Tom Bartholet

256

9

May 12, 2017

Fig. 9-1, RHS: Reverse the arrow on the lower line to make it a positron.

Tom Bartholet

258

9

May 12, 2017

Box 9-1, 3rd paragraph up from bottom, 2nd line: After “x1x3x2”, insert - in (B9-1.3) -

Tom Bartholet

259

9

May 12, 2017

(9-7): It may be easier to follow if the SF(p) gamma^mu were moved to after the gamma^nu. Given that these factors are inside the trace, it doesn’t really matter, but the whole thing tracks Fig. 9-5 better if it is done this way.

Tom Bartholet

261

9

May 12, 2017

(9-13): Put a factor of 1/(2 pi)2 after the equal sign.

Tom Bartholet

262

9

May 12, 2017

Line above (9-16): After “natural” insert - and Heaviside-Lorentz -

Tom Bartholet

264

9

Sept 30, 2016

Next to last bullet near bottom of page: delete space after “Compton”

 

277

10

May 18, 2018

Sect. 10.7.1, first line: Change “additional” to -alternative-

 

285b

10

May 24, 2017

Prob. 1, 2nd line: The quantity inside the bra should not be the complex conjugate of the quantity inside the ket, but the same thing. The bra notation implies the quantity shown inside, when expressed mathematically, has the complex conjugate taken.

Tom Bartholet

282

10

May 24, 2017

Last row, 2nd column: The quantity inside the bra should not be the complex conjugate of the quantity inside the ket, but the same thing. The bra notation implies the quantity shown inside, when expressed mathematically, has the complex conjugate taken.

Tom Bartholet

285

10

May 24, 2017

Section 10.12, Appendix E: It is clearer if whenever the term “delta function“ is used, it is replaced with “Dirac delta function” (so as not to confuse with the Kronecker delta).

Tom Bartholet

324

13

Oct 13, 2017

2nd paragraph after (13-9): Argument k for Pi_c should be k2

Tom Bartholet

328

13

Oct 13, 2017

1st line after “End of Proof”; change “photon loop” to - fermion loop -

Tom Bartholet

329

13

Oct 13, 2017

(13-36): each denominator should have a “+ epsilon” added

Tom Bartholet

330

13

Oct 13, 2017

Paragraph after (13-40): After “typically)”, insert  - , in the sense that it gives rise to a corresponding vertex in a Feynman diagram -

Tom Bartholet

331

13

Oct 13, 2017

2nd line after (13-42): before “photon” insert  external -

Tom Bartholet

332

13

Oct 13, 2017

(13-49): Right near end of equation, for Sigma_c, the p argument should have a slash through it.

Tom Bartholet

334

13

Oct 13, 2017

1st line after (13-56) In the expression right after “Also,”, delete the - i -.

Tom Bartholet

337

13

Oct 13, 2017

(13-78), 4th line down: operator adagger_r” needs an argument (k”).

Tom Bartholet

340

14

Dec 7, 2017

4th line down below Fig 14-1 title: change “second” to - third row -

Tom Bartholet

340

14

Dec 7, 2017

Eq (14-1): The factor in front of the integral needs to be divided by (2pi)4.

Tom Bartholet

343

14

Dec 7, 2017

Sect. 14.2.1, Step VI), first line: Delete “the Taylor expansion of the”. This is not wrong, but one reader thought it confusing.

Tom Bartholet

369

14

Dec 7, 2017

Wholeness Chart 14-5, column (IV), 2nd row: change comma to non-subscript so it can be seen.

Tom Bartholet

371

14

Aug 6, 2015

Page heading should be “Section 14.9 Chapter Summary”. Heading as shown should have “mu” instead of a box (2 places). Computer glitch in 2nd ed. Not in 1st.

 

373

14

Dec 7, 2017

Probs. 3 and 4: In “e0 ”, the superscript zero should be a subscript.

Tom Bartholet

379

15

Jan 15, 2018

(15-29): The derivatives in the top row should be enclosed in parentheses, so the epsilon = 0 does not apply to the factors of epsilon and epsilon square.

Tom Bartholet

382

15

Jan 15, 2018

(15-48) to (15-49): We considered the first two terms in the second line of (15-48) negligible. In the newly added (not in text, online) appendix used to go from (15-44) to (15-45), we showed these terms equal i pi/6 - 5/18.

Tom Bartholet

385

15

Jan 15, 2018

2nd line below (15-57): put a minus sign in front of Lambda squared.

Tom Bartholet

394

15

Jan 15, 2018

2nd line below (15-111): Change “electrons” to  fermions -. (For time upward, Fig. 15-2 would show an electron and a positron.) Also change “are” to  approach  and equal signs to approximately equal signs.

Tom Bartholet

399

15

Jan 15, 2018

2nd line after (15-133): after “each”, insert  integral -.

Tom Bartholet

403

16

Oct 25, 2017

5th line up from bottom: Change “.)” to - ). -

John Davidson

403

16

Apr 11, 2018

Paragraph after (16-4), last line: After “surface”, insert a comma.

 

403

16

Apr 11, 2018

The minus sign before the unit vector in the theta direction should be a plus sign.

Tom Bartholet

403

16

Apr 11, 2018

3rd margin note up from bottom:  After “Magnetic field” insert “B”.

Tom Bartholet

403

16

Apr 11, 2018

Last line on page: after “component of” insert “the photon field”

Tom Bartholet

405

16

Apr 11, 2018

Title for Table 16-1.  After “Potentials”, insert “and Resulting Force Fields”

Tom Bartholet

406

16

Apr 11, 2018

Line above (16-13): after “to be”, insert “(where the subscript ‘disting’ means distinguishable particles)”

Tom Bartholet

407

16

Apr 11, 2018

Last line on page: Change “Table 1” to “Table 16-1”.

Tom Bartholet

409

16

Apr 11, 2018

(16-27), 2nd line: The “D_mu nu” should be “D_F mu nu”

Tom Bartholet

410

16

Apr 11, 2018

Sect 16.3, 1st line: The “D_mu nu” should be “D_F mu nu”

Tom Bartholet

414

16

Oct 25, 2017

2nd line above (16-48): underlining on mu mu subscripts should be raised.

John Davidson

414

16

Oct 13, 2017

(16-48) next row up from bottom: Superscript “30” should be - 20 -

John Lynch

415

16

Apr 11, 2018

Section How We’ll Go About It: in the 1st and 2nd paragraphs, there should be a minus sign in front of mu dot B and mu dot (curl A). Two places.

Tom Bartholet

416

16

Apr 11, 2018

7th line up from bottom of page: minus signs after the two equal signs should be deleted (should be plus signs).

Tom Bartholet

422

16

Apr 11, 2018

(16-86): superscript epsilons (two places) should be “e”.

Tom Bartholet

431a

16

Apr 11, 2018

After (16-125), insert “Note that had we considered the photon to be outgoing rather than incoming, we would have obtained the same result.”

Tom Bartholet

439

17

July 20, 2018

Line above (17-14), change “area” to  volume -.

Tom Bartholet

445

17

July 20, 2018

WhChart 17-2, last row, last box on right: After “(B) at left”, insert - top row -

Tom Bartholet

455

17

July 20, 2018

Just above (17-49) insert before the RH parenthesis: - and (17-48) is a special case of (17-49) for a single f  -

Tom Bartholet

456

17

July 20, 2018

Replace last sentence on page with: -In effect, the integration is simply the imposition of the constraint equation p’_2 = p_1 + p_2 - p’_1 in the RHS of (17-54). -

Tom Bartholet

457

17

Oct 25, 2017

(17-60): bold p’ in underbracket should have “1” subscript inside the absolute value sign

John Davidson

460

17

July 20, 2018

(17-48): put brackets around argument of trace in last row.

Tom Bartholet

460

17

July 20, 2018

Third interaction of Wholeness Chart 17-5: the spinors of  need to have sub-subscripts “1” and “2” for the subscript “s primes” corresponding to the subscripts of the momenta.

Tom Bartholet

461

17

July 20, 2018

(17-81): Superscripts μ and ν should be interchanged to be consistent with Equation (17-80) and for what follows.

Tom Bartholet

461,

462

17

July 20, 2018

(17-82) and (17-83): “for unpolarized photons” should say “for photons with unmeasured polarizations” . Same fix for (17-95) and (17-96).

Tom Bartholet

461

17

July 20, 2018

(17-84): Delete “nu …” in subscripts (2 places).

Tom Bartholet

463

17

Aug 6, 2015

(17-99). “1/4” font size too big.

 

473

17

July 20, 2018

Underlined heading “Unpolarized (Spins and Polarizations Not Measured): Delete “Unpolarized” and parentheses.

Tom Bartholet

474

17

July 20, 2018

Statement of X11 following equation (17-148): Reverse signs on the two “i” factors

Tom Bartholet

477

17

July 20, 2018

The sentence after (17-162): “Compton unpolarized differential cross section” should be - Compton differential cross section for unmeasured spins and polarizations -. 

Tom Bartholet

477

17

July 20, 2018

(17-164): “Unpolarized” should be  Unmeasured spins/polarizations -

Tom Bartholet

482

17

July 20, 2018

4th paragraph up from the bottom of the page: pg.443 should be pg.445.

Tom Bartholet

482

17

July 20, 2018

3rd paragraph up from bottom, 4th line: Change “are the same for any experimental setup”, to  for the same types of interacting particles are the unaffected by any particular experimental setup  -

Tom Bartholet

484

17

July 20, 2018

Step 13, last box: Delete “/polar” as indicated here.

Tom Bartholet

491

18

June 22, 2016

Paragraph to the right of Fig. 18-1, 3rd line: The underline marks in the argument of the delta function should just be spaces.

 

492

18

Aug 3, 2018

3rd line after (18-11): after “probability density” insert  (probability per unit x) -

Tom Bartholet

494

18

Aug 3, 2018

Footnote 2: Add the following.  Feynman’s Fig. 24 is actually for a slightly different form of the least action principle than we investigate here, but the underlying concept is the same -

Tom Bartholet

500

18

Aug 3, 2018

Just above (18-34), after N goes to infinity, add  where we assume one path point at the center of each dx1 -

Tom Bartholet

500

18

Aug 3, 2018

Before eq (18-37): after the infinity sign, insert  for each dx1 and dx2 -

Tom Bartholet

500

18

Aug 3, 2018

Under the title for Fig. 18-7, insert - (Two time slices at t1 and t2 with three time intervals Delta t and thus with Delta x1 and Delta x2) -

Tom Bartholet

501

18

Aug 3, 2018

After (18-38), change “the particular path that crosses the respective t slices at x1, x2,… xn.” to  each particular segment in a given path from i to x1 to x2, etc. through each respective time slice to f. -

Tom Bartholet

501

18

Aug 3, 2018

Sect. 18.8.4, at end of point 2, add - so the number of time slices goes to infinity -.

Tom Bartholet

504

18

Aug 3, 2018

After (18-56), before N, insert - a new -.

Tom Bartholet

508

18

Aug 6, 2015

Wholeness Chart 18-6. Title needs to be centered

 

508

18

Aug 3, 2018

After (18-64), add: - One can extrapolate (18-64) to more than one field, but we will not do this here.  In (18-63) and (18-64), at the end of the box, add - for Single Field -

 

511

19

Aug 3, 2018

Sect 19.1.2: Page ranges are a bit off for 2) to 3).

Tom Bartholet

514

19

Aug 3, 2018

(19-5): omega should have subscript k; E should have subscript p.

Tom Bartholet

515

19

Aug 3, 2018

Mid page: range for Wholeness Charts 14-4 and 14-5 should end in 371, not 370

Tom Bartholet

516

19

Aug 3, 2018

Last line of section “QED value to order alpha” needs a minus sign inserted after equal sign.

Tom Bartholet

517

19

Aug 3, 2018

In section title “QFT Case, Particles ….”: Above 2nd line up from bottom, insert - if not measuring initial spins/polarizations, average initial spins/polarizations  ‘arrow’ -

Tom Bartholet

518

19

Aug 3, 2018

(19-8): the argument for j^mu of phi^r_mu should have phi^r_nu.

Tom Bartholet

519

19

Aug 3, 2018

A brief section summarizing the vacuum fluctuation material of Chap. 19 is being added to the 2018 version of the text.

Tom Bartholet

515

19

Aug14, 2017

3rd line up from bottom re Cutoff Regularization: after “gauge invariance” insert  and is not Lorentz invariant . Delete “a” and insert  s - after “underpinning.

 

520

19

June 21, 2016

Footnote 1. The year should be 2010, not 2002.

 

524

Index

Oct 25, 2017

“Lorentz gauge” should be  Lorenz gauge -

John Davidson

524

Index

May 12, 2017

After “Normal ordering, 60”, insert - 112-113, 208-209 -

 

 

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