#  Second Printing Corrections 

 



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This page lists corrections to the **second printing** (June 2014).  
The printing is listed in the middle of the imprints page (e.g. First published 2014/2nd printing 2014). If your book has any of the errata listed on this page, it is the second (or first) printing.

## Important corrections (Errors in derivations or results)

In the electron self-energy graph in QED in dimensional regularization, some order ε terms were left out. The first relevant equation is Eq. (18.12) on p. 327. Correction as follows:

Reads in second printing:

Sort   ![2c1](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/2c1_01.png?itok=JC9K1Q5Q) 

 









Should read:

   ![2c2](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/2c2_01.png?itok=GwQpEVRK) 

 

This affects the dimensional-regularization on-shell counterterms:  
p. 333, Eqs. (18.51) and (18.52): The “5/2” should be a “2” in both equations.p. 343, Eq. (19.25): The “5/2” should be a “2”.  
It also affects Eq. (18.50) on p. 333:

Reads in second printing:

Sort   ![Eq18.50-bad](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.18-50-bad.png?itok=A8yYAyY8) 

 









 Should read:

   ![Eq18.50-good](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.18-50-good.png?itok=44d4Fof7) 

 

the first line of Eq. (18.60) on p. 335:

Reads in second printing:

Sort   ![eq.18.60-bad_01.png](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.18.60-bad_01.png?itok=VfXAE3mB) 

 









 Should read:

   ![Eq1860good](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.18.60-good.png?itok=NcHwdyJU) 

 

and Eq. (18.62) also on p.335:

Reads in second printing:

Sort   ![Eq18.60-bad](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.18.60-bad.png?itok=JmSNhufj) 

 









 Should read:

   ![2c6](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/2c6.png?itok=wqCa8bO8) 

 

Finally, the pole-to-msbar conversion is affected.  
p. 336, Eq. (18.65): The “5” should be a “4”.  
p. 337, Eq. (18.70): The “5” should be a “4”.  
p. 412, Eq. (22.57): The “5” should be a “4”.  
  
Similar factors were not included in the the vertex correction graph in Chapter 19.  
p. 347, Eq. (19.50): Correction as follows:

Reads in second printing:

Sort   ![2c9](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/2c9.png?itok=tx7zqw_b) 

 









Should read:

   ![2c10](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/2c10.png?itok=GYFtUIFg) 

 

p. 347, Eq. (19.52): On the first line, the factor of “(2-4/d)“ should be a factor of “(d-2)2/d” in two places and on the second line, the “-1” should be “-2”.  
p. 347, Eq. (19.54): The “-½” should be a “-1”.  
p. 348, Eq. (19.55): The “-½” should be a “-1” on the first line, and the “5/2” should be a “2” on the second line.  
p. 348, Eq. (19.56): The “5/2” should be a “2”.

pp. 628-631. There are a number of minor corrections in Section 30.3: the transformations of ψ and its conjugate may be unrelated; the one-particle Hilbert space should be introduced first in Eq. (30.58) rather than Eq. (30.62); the Jacobian is not singular but rather it is undefined. Rather than list all the corrections separately, this PDF contains the full update of Section 30.3.

[Updated Section 30.3](/file_url/260)

 Only Eqs. (30.57) to (30.60), the discussion around these equations, and an overall sign in Eq. (30.66) are changed.

## Minor corrections (Unimportant errors in equations)

p. 80, Eq.(7.9): There should be no “hbar” in this equation. The hbar cancels because <0|T {φ0 (x)φ0 (y)}|0> = hbar DF (x, y).  
p. 84, Eq. (7.28): The “H(t)” on the right-hand side should be “H(t0)”.  
p. 85, Eq. (7.33) lines 2 and 3: Both factors of “H(t)” should be “H(t0)”.  
p. 85, below Eq. (7.33): The “V(t)” on the right hand side should be “V(t0)”. That is, this inline equation should be “VI (t) = exp\[ i H0(t-t0)\] V(t0) exp\[- i H0(t-t0)\]”.  
p. 88, 4th line, 6th line and Eq. (7.53): The factor of “i H0(t- t0)” in the exponent should be “ - i H0(t- t0)” in all 3 instances.  
p. 89: Eqs. (7.61): Both exponentials should be surrounded by a time-ordering operator.  
p. 90, Eq. (7.68): On the last line of this, the factor of “2” should be a “3”.  
p. 97, Eq. (7.90): First “ϕ” should be “ϕ0”.  
p. 99, Eq. (7.106): “M” should be “i M” on the left-hand side.  
p. 101, Eq. (7.A.113): All the “ϕ”’s in this equation in should be “ϕ0”’s.  
p. 102, Eq. (7.A.121): Last “ϕ” on the left-hand-side should be “ϕ0”.  
p. 117: Eq. (8.29): Momentum should have a down index: “pμ=(E,0,0,pz)” should be “pμ=(E,0,0,pz)”  
p. 124, Eq. (8.69): The second polarization vector should be “ε2” not “ε1”.  
p. 126, Eq. (8.78): The second polarization vector should be “ε2” not “ε1”.  
p. 185, Eq. (11.2): The sign in front of the F. σ term should be “-”, as in Eq. (11.1).  
p. 188 Eq. (11.13): The sign in the exponent should be -. That is “e ip x” should be “e-i p x”.  
p. 189, Eq. (11.18) and p. 194, Eq. (11.42): Spinors should be multiplied by a factor of √m to be consistent with out normalization convention.  
p. 190, Eq. (11.26): up2 and vp2 are incorrect. Correction as follows:

Reads in second printing:

Sort   ![2c11](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/2c11.png?itok=q0r-ChtR) 

 









Should read:

   ![Eq11.26-good](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.11.26-good.png?itok=9ZmLE--c) 

 

p. 234: Eq. (13.79): “e 4” should be “α4”.  
p. 235: Eq. (13.80): A factor of “p4” is missing from the denominator in the final term. That is, “64 π4 … “ should be “64 π4 p4… “  
p. 248, Eq. (13.164): The “8π” in the denominator should be “16π”.  
p. 261, Eq. (14.41): The time-ordering symbol is missing on the on left-hand side.  
p. 271, Eqs. (14.96), (14.97), (14.98) and (14.100) on p. 272, the ordering of the θ’s should be reversed (but not the θ-bar’s). Equivalently, the measure can be written with each θ-bar proceeding each θ. That is, these measures should read:

SortReads in second printing:

   ![thetasBad](/sites/g/files/omnuum6876/files/styles/hwp_1_1__360x360_scale/public/schwartzqft/files/thetas-bad.png?itok=6r0iYhMf) 

 



One correct form

   ![thetaOrderGood](/sites/g/files/omnuum6876/files/styles/hwp_1_1__360x360_scale/public/schwartzqft/files/thetaorder-good.png?itok=AOZgPHQ8) 

 



Another correct form:

   ![Pg271V3](/sites/g/files/omnuum6876/files/styles/hwp_1_1__360x360_scale/public/schwartzqft/files/p271-v3-good.png?itok=Xhfps9Xi) 

 







p. 283, 5th line of Section 14.8.4: “m = (b-n)/2” should be “ m = (n-b)/2”.  
p. 292, Eq. (15.25): The third form of this term is wrong (the others are correct). The denominator should be “eε - 1” instead of “1- e - ε ”.  
p. 298, Eq. (15.69): On the second line, the “+” in the large square brackets on the second line should be a “-”.  
p. 299, Eq. (15.73): The “+” in this equation should be “-”.  
p. 332 Eq. (18.46) and p. 333 Eq. (18.48): “Σ” should be “Σ2”.  
p. 405,, Eqs (22.33) and(22.34): The factors of “MSun/MPl2” in these equations should be simply “MSun/MPl”, with a single power of MPl.  
p. 471. Eq (24.86): Fourier transform is missing. Correction as follows:

Reads in second printing:

Sort   ![Eq24.86-bad](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq24.86-hires-bad.png?itok=AO2GFs9W) 

 









 Should read:

   ![Eq24.86-good](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.24.86-good-hires.png?itok=vA9JN0u0) 

 

p. 564, Eq. (28.8): “eipx” should be “e-i p x ”.  
p. 564, Eq. (28.9): “ωp” should be “ωq”.  
p. 564, 1st line below Eq. (28.9), “δ3(p − k)” should be “δ3(q − p)”.  
p. 568, Eq. (28.23): The quartic term is ambiguous. A more precise Lagrangian has the traces explicit, as:

SortReads in second printing:

   ![Eq28.23-bad](/sites/g/files/omnuum6876/files/styles/hwp_1_1__360x360_scale/public/schwartzqft/files/eq.28.23-bad.png?itok=uhjF4_oM) 

 



Should read:

   ![Eq28.23-good](/sites/g/files/omnuum6876/files/styles/hwp_1_1__720x720_scale/public/schwartzqft/files/eq.28.23-good.png?itok=Q0gQfPJV) 

 







p. 578, First line: “For R > ξ, the type-I …” should be “For ξ > R, the type-I …”.  
p. 605, Eq. (29.81): “s” and “d” are reversed in the last parenthesis on the second line.  
p. 617, Eq. (30.1): In the second term on the right hand side, the “ϕ” should be a “π“.  
p. 749. Eq. (24.65): There is a minus sign missing before the “λ|H|4”.  
p. 800, Eq. (36.92): There should be a sum over “X1” on the next-to-last line of this equation, before the 1/N and a sum over “X2” on the last line, before the 1/N.  
p. 801, Eq. (36.96): There should be a sum over “X1” on the next-to-last line of this equation, before the 1/N and a sum over “X2” on the last line, before the 1/N.

## Typos (Superficial formatting issues)

p. 62, First sentence below Eq. (5.24) should be removed (this decay rate formula is valid in any frame).  
p. 80, Eqs. (7.7) and (7.8): The “y” on the left-hand sides should be “ x’ ”.  
p. 99, Eq. (7.106): The left hand side should “i M” instead of just “M”.  
p. 128, Eq. (8.97): “Fμν” on the left-hand side should be squared.  
p. 153, Just above Eq. (9.59), reference to Eq. (9.54) should be a reference to Eq. (9.55).  
p. 156, Problem 9.3(e): “Show that if and only … ” should be “Show that if and only if ...”.  
p. 161, Four lines from the bottom: “T” should be “P”; the othochronous Lorentz group includes parity but not time-reversal.  
p. 166, Below Eq. (10.46): Reference to Eqs. (10.39) and (10.40) should be references to Eqs. (10.40) and (10.42).  
p. 202, 3rd line: The third line on the page beginning “Show that …” should not be there. The correct relation is in Problem 11.2(b).  
p. 249, Problem 13.6(d): Ni59 should be Ni60 in two places (as in Problem 11.6(f) on p. 202).  
p. 261, first line below Eq. (14.44): “... as varying to the value ...” should be simply “... as varying the value… ”.  
p. 277, Eqs. (14.130) and (14.131): Hats are missing on “φ(w)” and n “φ(y)” (all instances of φ should have hats).  
p. 281, First line (or in first printing, p. 280 last line): "identity" is misspelled. p. 388, 3 lines after Eq. (21.170: "\[g\_i\]" should be "\[g\_1\]".  
p. 571, Footnote: “92 GeV” should be “92 MeV” in two places.  
p. 572, 4th line of Section 28.2.3: “ms ~ 100 GeV” should be “ms ~ 100 MeV”.  
p. 831, Eq. (B.58): In the denominator on the right-hand side, “p2Λ2” should be “p2 - Λ2”.  
p. 832, Two lines above Eq. (B.47): The word “derivational” should be “dimensional”.

## Credits

Minor correction on pages 84, 564: Thanks to Yoon.  
Minor correction on page 88: Thanks to Nathan.  
Minor correction on pages 97, 101 and 102: Thanks to Alex.  
Minor correction on pages 188, 298 and 299: Thanks to Nico.  
Minor correction on pages 271-272: Thanks to Jeff.  
Minor correction on pages 405 and 617: Thanks to Oliver.  
Minor correction on pages 605: Thanks to Peter.  
Minor correction on page 749: Thanks to Anthony.  
Minor correction on page 564, 568: Thanks to YoonSeok.  
  
Typos on pages 99, 128, 234, 235, 280, 283, 261, 277, 292, 831 and 832, Thanks to Kari.  
Typo on page 62: Thanks to Kevin.  
Typo on page 156: Thanks to Alex.  
Typo on p. 388: Thanks to Erik.



 

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