Corrections to

 Solution to Problems for

Student Friendly Quantum Field Theory

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Pg

Date Posted

Significant Correction

Reported by

(blank = the author)

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

6-7

June 4, 2018

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

16-3

Apr11, 2018

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

Tom Bartholet

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

1-1

Oct 13, 2017

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

Harm van der Lek

1-2

Oct 13, 2017

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

Michael Heiss

7-1

Aug 21, 2017

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

Ian Marshall

8-6

Aug 21, 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

12-3

Aug 21, 2017

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

Tom Bartholet

12-3

Aug 21, 2017

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

Tom Bartholet

11-2

June 13, 2017

Prob. 3. In 2^nd line of equations, after 2^nd 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

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

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. Eq (P6-10): D_{F mu nu} needs factor of “i” in front.

Tom Bartholet

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

8-14

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 S_F⁽²⁾ should have a Dirac delta function with argument zero outside the integral.

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 c_rdagger 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

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 iS_F (x₁  x₂) and just below that a minus sign in front of psi (x₁)psibar (x₂)

Tom Bartholet

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

2-3

Sept 28, 2016

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

Then change v_i = v ^j to v_i = v ⁱ    and p_i = p ^j to p_i = p ⁱ

Tom Bartholet

5-3

June 16, 2016

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

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

Tom Bartholet

4-11

May 16, 2016

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

Tom Bartholet

4-13

May 16, 2016

Prob. 20, answer (second part), 2^nd 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. 2^nd and 3^rd lines in answer: u_r 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. 4^th line up from bottom for i not = j: After 5^th equal sign, alpha_j beta alpha_i beta is better expressed as its mathematical equivalent beta alpha_j beta alpha_i.

Tom Bartholet

3-9

Mar 2, 2016

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

Tom Bartholet

8-7

Dec 18, 2015

Eq (P6-12): In front of g_{mu nu} insert “i”. Two places.

Don McDonald

2-1

Aug 27, 2015

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

Tom Bartholet

3-4

Aug 7, 2015

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

Stephen Palzewicz

14-1 to 14-2

June 26, 2015

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

Jimmy Snyder

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

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

6-7

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.

John Davidson

3-2

Jan 17, 2015

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

Michael Heiss

8-13

Nov 25, 2014

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

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

Pg

Date Posted

Minor Correction

Reported by

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

Luc Longtin

17-3

July 20, 2018

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

Tom Bartholet

16-1

Apr 11, 2018

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

Tom Bartholet

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

3-7

Feb 24, 2018

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

Ian Marshall

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

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 2^nd and 3^rd lines of the last equation need to have  + iepsilon in the denominator.

Tom Bartholet

10-1

May 24, 2017

Prob. 1, 2^nd 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

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

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. 3^rd 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 D_{mu nu} should be D_{Fmu nu}

Tom Bartholet

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

8-18

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

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

4-7

May 16, 2016

Prob. 10, 2^nd 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.

7-3

May 16, 2016

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

9-1

May 16, 2016

Prob. 2, 3^rd line. Delete “are”.

13-1

May 16, 2016

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

16-1

May 16, 2016

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

3-1

Mar 2, 2016

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

Tom Bartholet

3-7

Mar 2, 2016

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

Tom Bartholet

2-4

Sept 10, 2015

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

Tom Bartholet

3-8

Aug 7, 2015

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

Stephen Palzewicz

17-1

June 26, 2015

Prob. 2: “renormalization” should be  normalization  

Jimmy Snyder

17-7

June 26, 2015

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

Jimmy Snyder

15-2

June 26, 2015

Prob. 4: mu nu superscripts should be subscripts

Jimmy Snyder

3-2

June 19, 2015

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

5-4

June 19, 2015

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

7-1

June 19, 2015

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

2-1 and 2-2

June 23, 2014

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

Jimmy Snyder

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”.

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.

8-1

Nov 25, 2014

Figure on lower RH too large

8-15

Nov 25, 2014

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

10-2

Nov 25, 2014

Header on page should read “Student Friendly QFT”

13-2

Nov 25, 2014

Header on page should read “Student Friendly QFT”