Corrections to

 Solution to Problems for

Student Friendly Quantum Field Theory

 

 

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Significant Corrections (may impact learning process)

 

 

Pg

Date Posted

Significant Correction

Reported by

(blank = the author)

1-1

Oct 13, 2017

Prob. 6 statement of problem, 2nd  line: before “determine”, insert - assuming p_x is a single term -

Harm van der Lek

1-2

Oct 13, 2017

Prob. 6, 4th line below (C): Change “zero” to  something other than ihbar times psi  

Michael Heiss

2-1

Aug 27, 2015

Prob 1: “kg-m2/s” should be  kg-m/s2  

Tom Bartholet

2-3

Sept 28, 2016

Prob. 8, answer. after 2nd arrow, insert x1= x1, x2= x2, x3= x3. Change xi = x j to an arrow followed by xi = x i.

Then change vi = v j to vi = v i    and pi = p j to pi = p i

Tom Bartholet

3-2

Jan 17, 2015

Prob. 3: Change “(3-27” to  (3-25)  (Same change in text pg. 82, Prob. 3).

Michael Heiss

3-4

Aug 7, 2015

Prob. 8: Third line up from bottom.  should be  and  should be  

Stephen Palzewicz

3-6

Oct 11, 2016

Prob. 12. Some “short cuts” I took in one or two steps in the derivation weren’t valid. The corrected solution is at Corrected Ch03 prob 12

Jeroen Spandaw

3-7

June 12, 2015

Prob. 13. The correction to a wrong sign in the solution in the booklet led to a few more steps in the derivation. See the revision of problem 3-13 solution.

Tyler Antony

3-9

Mar 2, 2016

Prob. 18, 2nd line after “Thus”.  “(factor)|0>” should be -(factor)|phibar> -

Tom Bartholet

4-6

May 16, 2016

Prob. 9. 1st line of answer, after last equal sign: the under bracket comments are true for p not = 0. If p = 0, then the first factor is zero and the second is V (volume).

Tom Bartholet

4-6

May 16, 2016

Prob. 9. . 2nd line of answer, after 2nd equal sign: exponent on 2nd e should have a plus, not minus, sign.

Tom Bartholet

4-7

Apr 23, 2015

Prob. 10: In the phibar(3) eq, the “ip2” should have a minus, not plus sign in front.

John Davidson

4-11

May 16, 2016

Prob. 18, answer (second part), 1st line: Under bracket “next page” should be  below -.

Tom Bartholet

4-13

May 16, 2016

Prob. 20, answer (second part), 2nd line: p1/p1 should be p1/|p1| and after the last equal sign should have +/- . As given the answer assumed only p1 positive.

(third part): Same as above but for p3/|p3|.

Tom Bartholet

4-16 and 4-17

May 16, 2016

Prob. 27. 2nd and 3rd lines in answer: ur should have r’.

Next equation line on pg. 4-17:  u_r(p) v_r’ dagger(-p)  should be ) v^r dagger (p) u_r’(-p). Underbracket for that term should say “= 0 from the complex conjugate transpose of (4-25) RHS”

Tom Bartholet

4-20

May 16, 2016

Prob. 30. 4th line up from bottom for i not = j: After 5th equal sign, alpha_j beta alpha_i beta is better expressed as its mathematical equivalent beta alpha_j beta alpha_i.

Tom Bartholet

5-3

June 16, 2016

Prob. 6. Quicker ans. (first part), 1st and 3rd lines (two places). ((omega_k)2  k2) should be (k2  (omega_k)2 )

Tom Bartholet

6-7

June 4, 2018

and

Apr 23, 2015

Prob. 14: See corrections in yellow in text (referencing corrections in some eqs) of Correction_Ch06_prob_14. Some factors exponential in time were left out, plus V in some denominators needed to be deleted. (Updated to include a subsequent correction reported on June 4 2018.)

John Davidson and Sayan Datta

7-1

Aug 21, 2017

Prob. 2. Replace s^mu with - ej^mu. (Note minus sign in front of e.) 6 places.

Ian Marshall

7-7

Nov 11, 2016

Prob. 13. In the next to last equation, which has “from (4-146)” on the RHS: There should be a minus sign in front of iSF (x1  x2) and just below that a minus sign in front of psi (x1)psibar (x2)

Tom Bartholet

8-1

Dec 8, 2016

Prob. 1. (Ans. (first part): Sentence beginning “Destruction operators …” should have double prime on r subscript and r after i). Sentence beginning “The remaining..”, the operator should be crdagger instead of adagger.

(Ans. second part): delta function to left of Feynman diagram should have argument (p2 - k1  p1). Eliminate the next line with equation. In last sentence, Eliminate “Note from the line before the last above, that”.

Tom Bartholet

8-2

Dec 8, 2016

Prob. 2. The delta function just above and to the left of the Feynman diagram should have the argument (p1 + p2  k)

Tom Bartholet

8-4

May 9, 2017

Prob. 5. Next to last line at bottom of the page: All brackets are anti-commutators and need “+” as subscript on the right.

Tom Bartholet

8-6

May 9, 2017

Prob. 6. Eqs (P6-8),: exponents - ipx1 and - i(ptilda)x2 should be positive not negative. (P6-9) and (P6-10): exponents -ip’2x1 and - ip’1x2 should be positive, not negative. 2 places.

Tom Bartholet and Ian Marshal

8-6

May 9, 2017

Prob. 6. Eq (P6-10): DF mu nu needs factor of “i” in front.

Tom Bartholet

8-7

Dec 18, 2015

Eq (P6-12): In front of gmu nu insert “i”. Two places.

Don McDonald

8-11

May 9, 2017

Prob. 8,  Eq (P8-14): Insert a Dirac delta function with argument (p’ + k’ - p  k)

Tom Bartholet

8-12

May 9, 2017

Prob. 9. Last line: Insert a Dirac delta function with argument 0.

Tom Bartholet

8-13

Nov 25, 2014

Prob. 11, 3rd  line: Change “Fig. 8-3” to  Fig. 8-4  

Prob. 11, 14th line: Change “Fig. 8-3” to  Fig. 8-4  

 

8-14

May 9, 2017

Prob. 13:  The expression immediately following the sentence beginning “By rule 7,…” needs a minus sign in front of it.

Tom Bartholet

8-15

May 9, 2017

Prob. 14:  The last line for SF(2) should have a Dirac delta function with argument zero outside the integral.

Tom Bartholet

9-2

May 12, 2017

Prob. 4: In the final equation, first row “ - (p2 - k)” should be “(- p2 - k)”. Thus, the two minus signs in the second row should be deleted.

Tom Bartholet

11-2

June 13, 2017

Prob. 3. In 2nd line of equations, after 2nd equal sign, before first A^mu insert partial^nu.

Tom Bartholet

11-3

June 13, 2017

Prob. 6. Last line of the equations, before “not equal” sign insert  .

Tom Bartholet

12-3

Aug 21, 2017

Prob. 7, 2nd line up from bottom: “alpha (6.0)” should be  alpha (12.0) -

Tom Bartholet

12-3

Aug 21, 2017

Prob 8, 3rd line of equations: The term with factor “ln p/mu” should also have a factor “partial e(mu)/partial mu”.

Tom Bartholet

14-1 to 14-2

June 26, 2015

Prob. 3. Subscript C1 everywhere it shows up should be C2. 3 places: one in problem statement, two right at end of solution.

Jimmy Snyder

14-1 to 3

Dec 7, 2017

Probs. 3 and 4: All “e2 “ should have a subscript zero.

Tom Bartholet

14-4

Dec 7, 2017

Prob. 8: All “e2 “ should have a subscript zero.

Tom Bartholet

16-3

Apr11, 2018

Prob. 5, Ans (first part), eq (A): k2 should be k2 (3 places)

Tom Bartholet

17-2

July 21, 2018

Prob. 4: Equation (D) should have all primes and non-primes switched except in the propagators. Same in (E). In the text below (D), it should also be noted that (A) and (B) also differ from (C) and (D) via a switching of primes and non-primes.

Above (E), equation (17-82) should be (17-77).

Tom Bartholet

 

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Minor Corrections (should not impact learning process)

 

Pg

Date Posted

Minor Correction

Reported by

 

Apr 22, 2015

I should have acknowledged Luc Longtin at the front of the booklet for contributing four valuable problems to the 2nd edition that were not in the 1st.

Luc Longtin

2-1 and 2-2

June 23, 2014

Prob. 4: First sentence at end, delete one period. 1st line: superscript “alpha beta” on “g” should be smaller font size. Part c), remove period after first alpha subscript.

Jimmy Snyder

2-2

Feb 24, 2018

Prob. 4(b)(ii):  Change the second occurrence of - ∂2/∂X22 to - ∂2/∂X32

Ian Marshall

2-2

Feb 24, 2018

Prob. 4 (c)(i): Change the second occurrence of - ∂2/∂X22 to -∂2/∂X32 and change the second occurrence of - (X2)2 to - (X3)2

Ian Marshall

2-4

Sept 10, 2015

4th block up in LH column: Change “Hamiltonian’s” to  Hamilton’s  

Tom Bartholet

3-1

Mar 2, 2016

Prob 1. After (3-1),change “RHS of (3-1)” to  RH relation shown above -

Tom Bartholet

3-2

June 18, 2015

Prob. 3: Change “of negative unity” to  is negative  

 

3-7

Mar 2, 2016

Prob. 13. In (3-36), LH relation, k everywhere should be k

Tom Bartholet

3-7

Feb 24, 2018

Prob. 13. Some typos corrected in solution link revision of problem 3-13 solution

Ian Marshall

3-8

Aug 7, 2015

Prob. 14, first line of answer: The ket is missing in two places on the RHS.

Stephen Palzewicz

3-8

Nov 25, 2014

align eq  number (3-30) with other eq numbers

 

4-5

Nov 25, 2014

Prob. 5, last line, add an “s” at the end of “follow”.

 

4-7

May 16, 2016

Prob. 10, 2nd line: Delete “(next page)”

 

4-11

May 16, 2016

Prob. 22. In 4 places d/partial x^mu should be partial/partial x^mu.

Tom Bartholet

6-1

May 16, 2016

Prob. 1: Font too big in some places.

 

5-4

June 18, 2015

Prob. 8. In the second line of the answer Amu(x) should, on the RHS be summed over r and k. Ditto for wherever the relation appears on the subsequent line in the solution.

 

6-4

Nov 25, 2014

Prob. 9: gamma symbol too large in places

 

6-5

Nov 25, 2014

Prob. 10: Some equations have font size that is too big.

 

6-5

Nov 25, 2014

Prob. 11: Some equations have font size that is too big.

 

7-1

June 19, 2015

Probs. 1 and 2. Change “s” everywhere to  “ e.j

 

7-3

May 16, 2016

Prob. 4 Wholeness Chart: next to last line: change “cords” to  coords -

 

7-3

Sept 22, 2016

Prob. 4. Middle of Wholeness Chart. Reference to “Lorentz Gauge” should be  Lorenz Gauge -

Tom Bartholet

7-4

Sept 22, 2016

Prob. 6., second part, second line. In first underbrackets there should be a factor of square root of 2 from the action of the destruction operator on the ket with 2 particles.

Tom Bartholet

8-1

Nov 25, 2014

Figure on lower RH too large

 

8-4

Dec 8, 2016

Prob. 4. In the next to last line, add “s” to “integration”; add “time” to “space”; delete “s” at end of “eliminates”.

In the last line, put a minus sign in front of e2. Change “that” to “where e

Tom Bartholet

8-4

May 9, 2017

Prob. 5. last line at bottom of the page: Change “from” to  similar to -

Tom Bartholet

8-5

May 9, 2017

Prob 6. Eq (P6-4): “LH” should be  LHS -

Tom Bartholet

8-13

May 9, 2017

Prob. 10. 3rd line down on page: Subscript on eqsilon of “r mu” should be  mu, r -

Tom Bartholet

8-14

May 9, 2017

Prob. 12: In four cases Dmu nu should be DFmu nu

Tom Bartholet

8-15

Nov 25, 2014

Prob 15: 1st line: tighten up spacing on e  and e+

 

8-18

Dec 8, 2016

Prob. 18 was added online Dec 8, 2016. Its solution:

Plot should have straight lines at 45 degree angles to E and k1 axes, originating at origin. Yes the mass shell for massive particles asymptotically approaches that of a photon for high E.

Tom Bartholet

9-1

May 16, 2016

Prob. 2, 3rd line. Delete “are”.

 

9-3

May 12, 2017

Prob. 8: It may be less confusing, if in the figure and all text, we use k” (double prime) instead of k, since we used k in Prob. 7 for the incoming photon. (But maybe it is OK as is.)

Tom Bartholet

10-1

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

10-2

Nov 25, 2014

Header on page should read “Student Friendly QFT”

 

13-1

May 16, 2016

Prob. 3. Last line on page. delete first “in”. change 2nd “in” to  for -.

 

13-1

Oct 13, 2017

Prob. 3:  To the right of Fig. 13-2, after “are”, insert  where we drop the + iepsilon in the denominators for simplicity -

Tom Bartholet

13-2

Oct 13, 2017

Prob. 4: The 2nd and 3rd lines of the last equation need to have  + iepsilon in the denominator.

Tom Bartholet

13-2

Nov 25, 2014

Header on page should read “Student Friendly QFT”

 

14-1 to 3

Dec 7, 2017

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

Tom Bartholet

14-4

Dec 7, 2017

Prob. 7:  “e0 ” in last line of solution: the superscript zero should be a subscript. 2 places.

Tom Bartholet

15-2

June 26, 2015

Prob. 4: mu nu superscripts should be subscripts

Jimmy Snyder

16-1

May 16, 2016

Prob. 1, 1st line: before “adjoint”, insert  first -. Change “have” to  has -.

 

16-1

Apr 11, 2018

Prob. 1: Right after Ans (second part): D_mu nu should be D_F mu nu.

Tom Bartholet

17-1

June 26, 2015

Prob. 2: “renormalization” should be  normalization  

Jimmy Snyder

17-3

July 20, 2018

Prob. 6: The subscripts alpha and beta on B_(e) should be superscripts.

Tom Bartholet

17-7

June 26, 2015

Prob. 11, last line: after “COM”, insert  frame  

Jimmy Snyder

 

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