Third Printing Corrections

None so far.

 

p. 20, Eq. (2.65): There should be a factor of volume “V” multiplying the “½” in the Hamiltonian. Same correction applies to Eqs. (2.79), (2.96), (15.3) and (15.4).
p. 49, Eq (4.16): The factors of “e” should not be there in any of the terms.
p. 50, Eq (4.18): The factor of “e/2” after the first = sign should not be there.
p. 138, Problem 8.4: This problem is extremely difficult. See Greiner and Reinhardt “Field Quantization” Chapter 7 for a solution. A more reasonable problem is to calculate the propagator for a photon in a physical gauge, such as axial gauge, A₀ = 0.
p. 149 Eq. (9.42) and p. 150 Eqs. (9.44) and (9.45): There is a missing factor of (2π)⁴ on the right-hand side of all of these equations.
p. 179, Eq. (10.131): The matrix in this equation should be negated to be consistent with Eq. (10.134). That is, the top row should be 0 -1 and the bottom row 1 0.
p. 181, Problem 10.1(b): The expression “(H_D + e A₀)²” should be “(H_D - e A₀)²”.
p. 187, in the definition of "Helicity", the factor of "S" in the denominator should be a lowercase "s". That is, helicity eigenstates are defined by \(\frac{\vec{S} \cdot \vec{p}}{s |\vec{p}|} \Psi = \pm \Psi\).
p. 196, Discussion of intrinsic parities in Section 11.5.1 could be clearer. Here is a revised discussion.
p. 201,Line after Eq. (11.90): There should be a minus sign in the transformation of A_μ. That is, CPT sends, A_μ(x) -> - A_μ(-x).
p. 201, Eq. (11.91): There should be no i in the ψAψ term.
p. 221, Eq. (12.81): There should be no factor of “i” in the definition of D₁ on the last line.
p. 264, Eq. (14.62): There is a missing factor of “Z₀[0]” on both terms on the right hand side of the first equality. That is, “1/Z[0]” should be “Z₀[0]/Z[0]” in two places.
p. 278, Eq. (14.132): The “+m” in the Dirac Lagrangian should be “-m”.
p. 278, First line below Eq. (114.132): “... represent any globally symmetric terms.” should be “... represent any locally symmetric terms.”.
p. 283 Problem 14.1: There are a few mistakes in Eq. (14.158). Corrections as follows:

 

Reads in third printing:

 

Should read:

p. 301, 3rd line of paragraph beginning “In Section 15.4…”: The inline equation should be “< φ⁴ > = − λ − ..” rather than “< φ ⁴ > = λ − ..”.
p. 324, First paragraph: The diagrams vanish, but not because there are an odd number of γ matrices. More simply, they must be proportional to the photon momentum, but Lorentz invariance (it is the only 4-vector around), but this momentum must vanish, by momentum conservation.
p. 334, Problem 16.3c: This problem should be asking about the total rate for π⁺π^- → τ⁺τ^- not π⁺π^- → e⁺e^-.
p. 336, First line on page: “with residue i” should not be there.
p. 344, First line after Eq. (19.34): There is an extra factor of p⁴ in the definition of Π(p²). The line should read: “Π(p²) is defined as the coefficient of i/p² (-g ^μν − p^μ p^ν/p²)” as it is on p. 349, second paragraph.
p. 346, Eq. (19.43): m_e should be m_R.
p. 380, Eq. (20.44): Tr [ q1 S q2 S] should be Tr[ p3 S p4 S], as in Eq. (20.43).
p. 419: Eq. (23.3): The numerator on the right hand side should have written “e_R²Π(p²) - δ₃” instead of “e_R²Π(p²)”.
p. 427, Eq. (23.31): The power of the β₂ term should be 3, not 2.
p. 447, Fig. 23.2: The x-axis in the figure should have positive numbers (0.5, 0.55, etc.). Also the caption should read “... the value of λ6 (Λ_L) goes to a constant value, entirely set by λ4 (Λ_L) … “ instead of “... the value of λ6 (Λ) goes to a constant value, entirely set by λ4 (Λ) … “.
p. 457, Eq. (24.30): There is a missing factor of “i” on the left-hand side (“M” should be “i M”). Eq. (24.31) still follows, as it is the imaginary part of i times the Feynman propagator to which Eq. (24.25) applies.
p. 458, Eq. (24.34): There is a missing factor of (2π)⁴ on the right-hand side.
p. 459, Eq. (24.39): A factor of (2π)⁴δ⁴(p - q₁ - q₂)” is missing from the right-hand side.
p. 459, Eq. (24.40): The first factor of “δ(q₂²)” should be “δ(q₁²)”
p. 471, Eq. (24.85): The first line should be evaluated at t=0 after the derivative is taken.
p. 471, Eq. (24.86): The left hand side should be integrated over x, rather than p. That is

 

pp. 503-505: All instances of “N” should be “n” in this section. That is, W(N) should be W(n), A(N) should be A(n), etc.. The exception is the factor of N in the denominator in Eqs. (25.133) and (25.134) which are N=N_c, the number of colors. These N’s really are N’s.
p. 515, Above Eq. (25.27): Summing over colors gives Tr[T^aT^a] = N C_F, not just C_F as written. The extra factor of N is already included in the sum over colors at tree-level, so Eq. (26.27) is correct.
p. 524, Eq. (26.70): The -½ on the first line should be a -1, as in Eq. (19.54).
p. 532: The factors of “i E T” on the left-hand sides of Eqs. (26.113), (26.114) and (26.116) should be  “- i E T”. The  “e ^{i H T}” factor in Eq. (26.113) should be “e ^{-i H T}”. Also, below Eq. (26.116), it should be “E = - e²/4πR = V(R)”  instead of “E =  e²/4πR = V(R)”.
p. 538, Eq. (27.19): The σ’s in this equation should be barred.
p. 571, Eq. (28.31): One of the currents should have †. That is, “J_μ^LJ_μ^L” should be “J_μ^L†J_μ^L”.
p. 571, Eq. (28.32): In the second term on the right-hand side, “γ^μγ⁵” should be “γ^μ (1-γ⁵)”.
p. 571, 4th line after Eq. (28.35): The transformation law for M should be “M → g_R M g_L^†” instead of “M → g_L M g_R^†”.
p. 581, Eq. (28.62): The left hand side should have “G[A_μ + D_μ, π − α]” instead o f “G[A_μ - D_μ, π − α]”. Also, on the right-hand side, “m_A” should be squared in both instances.
p. 581, Eq. (28.64): The sign of the ghost mass term is wrong. The expression “-ξ m_A²” in the last term should be “+ξ m_A²”
pp. 503-505: All instances of “N” should be “n” in this section. That is, W(N) should be W(n), A(N) should be A(n), etc.. The exception is the factor of N in the denominator in Eqs. (25.133) and (25.134) which are N=N_c, the number of colors. These N’s really are N’s.
p. 515, Above Eq. (25.27): Summing over colors gives Tr[T^aT^a] = N C_F, not just C_F as written. The extra factor of N is already included in the sum over colors at tree-level, so Eq. (26.27) is correct.
p. 524, Eq. (26.70): The -½ on the first line should be a -1, as in Eq. (19.54).
p. 532: The factors of “i E T” on the left-hand sides of Eqs. (26.113), (26.114) and (26.116) should be  “- i E T”. The  “e ^{i H T}” factor in Eq. (26.113) should be “e ^{-i H T}”. Also, below Eq. (26.116), it should be “E = - e²/4πR = V(R)”  instead of “E =  e²/4πR = V(R)”.
p. 538, Eq. (27.19): The σ’s in this equation should be barred.
p. 571, Eq. (28.31): One of the currents should have †. That is, “J_μ^LJ_μ^L” should be “J_μ^L†J_μ^L”.
p. 571, Eq. (28.32): In the second term on the right-hand side, “γ^μγ⁵” should be “γ^μ (1-γ⁵)”.
p. 571, 4th line after Eq. (28.35): The transformation law for M should be “M → g_R M g_L^†” instead of “M → g_L M g_R^†”.
p. 581, Eq. (28.62): The left hand side should have “G[A_μ + D_μ, π − α]” instead o f “G[A_μ - D_μ, π − α]”. Also, on the right-hand side, “m_A” should be squared in both instances.
p. 581, Eq. (28.64): The sign of the ghost mass term is wrong. The expression “-ξ m_A²” in the last term should be “+ξ m_A²”
p. 586, Eq. (29.9): There is a factor of 2 missing and a few signs are wrong. Correction as follows:

 

Reads in third printing:

Reads in third printing:

Should read:

 

p. 607, Eq. (29.90): There should be no overall minus sign on the right-hand side.
p. 612, Eq. (29.109): The middle expression is incorrect. Instead of the factor of “2 m_s” in the numerator, there should be a factor of “(2m_s - m_u - m_d)” in the denominator.
p. 627, Eq. (30.53): A term “½ (Q_R³ +Q_L³)M_V^αμν” should be added to the right-hand side.
p. 635, second paragraph: The last two sentences from this paragraph, “If such a gauge boson exists ... be very heavy (> 10¹⁶ GeV).” should be deleted.
p. 637, Eq. (30.93): The “a” superscripts on the last two F’s should be “b”’s.
p. 636, paragraph after Eq. (30.89), next to last line: The current experimental bound on the strong CP phase is “θ < 10⁻¹⁰”, not “θ < 10⁻¹²”.
pp. 712-732. There were a number of sign errors and small typos in Sections 3.4, 3.5 and Appendix A of Chapter 33. A revised Chapter 33 is here.
p. 820, Eq. (A.42): The indices on the right hand side should be μναβ in order, as on the right-hand side.
p. 832, Eq. (B.60): In the second line of this equation, the denominators should have + signs, not - signs. That is, they should be “(k_E² + m²)²” and “(k_E² + Λ²)²”.

p. 136, Eq. (8.139): The “v” on the second line should be a “ν”.
p. 160, Eq. (10.13): The summation symbol should be outside the square brackets.
p. 180, Eq. (10.133): The “a” in “ε^aβ” should be an “α”.
p. 182, Problem 10.1(f): There should be no arrow on top of H on the first line of the page.
p. 182, Problem 10.1(h), 4th line: “... are all m_e times powers …” should be “... are all m_e^-1 times powers …”. Also “time-dependent” should be “time-independent”.
p. 191. Eq. (11.32): The * on the first epsilon should be removed.
p. 183, Table 10.1: “describing” is misspelt.
p. 200, Eq. (11.83): The bar over the x on the left hand side should be an arrow.
p. 201, Eq. (11.91): The last term (ψσ_μνψF_μν ) should not have an “i”.
p. 202, Problem 11.6. This problem has generated some confusion. A cleaner version would be: (a) Use the left and right chirality projection operators to show that the QED vertex vanishes unless ψ and its conjugate are both left-handed or both right-handed. And (d) Suppose we take a spin-up electron going in the +z direction and turn it around carefully with electric fields so that now it goes in the -z direction but is still spin up. Has its helicity or chirality flipped (or both)? How is your answer consistent with part (a)?
p. 218, Eqs. (12.66), (12.67) and (12.68): The “d³q” should be replaced by “d³p”.
p. 249, Problem 13.6(d): Ni⁵⁹ should be Ni⁶⁰ in two places (as in Problem 11.6(f) on p. 202). Also, C (Carbon) should be Co (Cobalt).
p. 280, Eq. (14.146), The “p” in the argument of M on the left hand side should be omitted.
p. 310, First line of Section 16.3.1: “|p²| << m” should be “|p²| << m²”.
p. 315, above Eq. (17.2): Missing parenthesis. "i Dslash - m)" should be "(i Dslash - m)".
p. 321, Problem 17.1 (b): The values for (g-2)/2 have the decimal place in the wrong spot. 0.0011659208 and 0.0011659182 for the experiment and theory values, respectively. The uncertainties are correct.
p. 322, Second paragraph, 4th line: “ logarithmic weakening of the Coulomb potential at large distances” should be “ logarithmic strengthening of the Coulomb potential at short distances.”
p. 329, Below Eq. (18.14): Reference to Chapter 9 should be a reference to Chapter 16.
p. 332, Line below Eq. (18.42): Only condition (18.40) is required to define the pole mass.
p. 339, Third paragraph: reference to Chapter 15 should be to Chapter 16.
p. 339, Eq. (19.1): The first ψ should have a bar over it.
p. 345, Five lines before Eq. (19.39): δ₃ should be δ₁.
p. 353, Below Eq. (19.82): F₁ (0) = 1 sets δ₁ and Σ′ (m_R)=0 sets δ₂, not vice versa as written.
p. 413, Eq. (22.59): m and M should be switched in the denominators on the second line.
p. 460, Eq. (24.44): The μ and ν indices on the final two p’s should be should be interchanged. Also, the sum on the left hand side should be over i and the second epsilon should have a ν index.
p. 502, Second line below Eq. (25.120): It should read “r^μΠ^μνab_axial = 0”. The “=0” is missing.
p. 566, Eq. (28.15): The variation should be ∂L/ ∂(∂_μ π) instead of just ∂L/∂_μ π.
p. 571, Eq. (28.33) and the line above Eq. (28.33): It should be “π → μ ν_μ” not “π → μ ν_e” in both cases (as in Eq. (23.34)).
p. 582, 5th line from bottom: “E>> m²” should be “E>> m”.
p. 602, Third paragraph: Reactor neutrinos are mostly electron anti-neutrinos and accelerator neutrinos are mostly muon neutrinos (not the other way around, as written).
p. 603, Eq. (29.74): One of the neutrinos should be an anti-neutrino.
p. 612, line after Eq. (29.111): There is an extra |d_N|. That is, “|d_N| < |d_N| < 2.9 x 10^-26 …” should be simply “|d_N| < 2.9 x 10^-26 …”.
p. 614, Last paragraph: Maximal means δ = π/2 not δ = π as written.  
p. 627, Eq. (30.53): The “ 1/2 (Q_R³ - Q_L³ ) M₅^αμν” term on the right-hand side should have “ 1/2 (Q_R³+ Q_L³ ) M_V^αμν” added to it.
p. 633, Eq. (30.79): The “A(R)d^abc” on the right hand side should be “½ A(R)d^abc”.