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Corrections to REVISION of Volume 2 of Student Friendly Quantum Field Theory: The Standard Model
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Sorted by Page Number: This Page |
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Sorted by Date Posted: Click Here |
Significant Corrections (may impact learning process)
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Pg |
Chap |
Date Posted |
Significant Correction |
Reported by (blank = the author) |
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45 |
2 |
Aug 30, 2024 |
(2-118): This example is hypothetical to make a point about the number operator. We can’t really have 3 electrons in the same state due to the Pauli exclusion principle. It would have been better to have an electron, a positron, and a muon, all with zero 3-momentum and spin up, for a total spin of 3/2. |
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47 |
2 |
Aug 31, 2024 |
Pedagogic aid: At the end of Sect. 2.6, it can help to look at Summary of operators, fields, and states in different QFT vector spaces |
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61 |
2 |
Jan 8, 2025 |
Prob. 4, last three lines: Delete everything after “Explain your answer”. |
Mikhail Denisov |
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64 |
3 |
Oct 29, 2024 |
Pedagogic aid: If one wishes to get to electroweak theory quickly, Chaps. 3 and 4 can be skipped at this point, as they are more relevant for strong interactions (beginning with Chap. 12). Note that Chaps. 3 and 4 take a lot of work to digest, so if you find them rough going, you are not alone. (I tried to make them as easy to understand as possible, but the material is challenging by its very nature.) |
Jon Wesick |
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108 |
3 |
July 2, 2024 |
Prob. 2, after first sentence, insert |
Jack Freinhar |
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124 |
4 |
June 27, 2025 |
Equation (4-43): Delete the minus signs in front of the 2nd and 3rd relations. After (4-44), delete “of the negative”. |
Anthony Soong & Albert Clement |
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130 |
4 |
July 19, 2022 |
Line right above Problems section: in front of sigma, insert “i”. |
Anthony Soong |
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153 |
5 |
Sept 19, 2022 |
(5-65): Insert a minus sign after “Mk =” and note that the last relation for Qk is valid for v << 1. Pedagogic aid: For v a significant fraction of the speed of light 1, and for more insight on (6-22), see www.quantumfieldtheory.info/Spinor_Lorentz_transf.pdf and the references in the footnote on page 171 of Vol. 1. |
Anthony Soong |
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162 |
6 |
Oct 23, 2024 |
Pedagogic aid: Before starting Chap. 6, it may help to read Potential Fields in QFT |
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167 |
6 |
Sept 27, 2024 |
(6-22) and (6-23): The SO(2) transformation shown is for a passive transformation, but it should be active. Change the sign on alpha everywhere (which also changes the sign on sin alpha). Then, (6-23) will agree with (6-20). |
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176 |
6 |
June 27, 2025 |
1st line: Replace g_l and g_nu_l with AYll’ and BYl nu_l’. |
Albert Clement |
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185 |
6 |
Oct 23, 2024 |
(6-99): “2” in denominator should be “4”. |
Lou Biegeleisen |
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190 |
6 |
June 27, 2025 |
(6-116): After 2nd equal sign, insert minus sign. |
Albert Clement |
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193 et al |
6 |
June 27, 2025 |
Pg. 193, 2nd line from bottom: Subscript on BYl nu_l, the subscript nu_l should have a prime on the l. Pg. 195: Same in Wholeness Chart 6-8, 4th row up from bottom. Three places. Pg. 197: Same in (6-125). Four places. Pg. 203: Same in (6-125). Four places. |
Albert Clement |
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205 |
6 |
Oct 23, 2024 |
(6-176): change all “e” factors to “m”. 4 places. |
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205 |
6 |
Sept 27, 2024 |
Prob. 2: Change the sign on alpha everywhere (which also changes the sign on sin alpha). |
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225 |
7 |
Oct 29, 2024 |
Pedagogic aid: The treatment of mass vs flavor eigenstates from this page through to page 238 is summarized in the wholeness chart Flavor vs Mass Eigenstates Summary. Following that as you read the details in the chapter should help. |
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228 |
7 |
Oct 29, 2024 |
(7-87) and (7-80): The Wslash symbol should be placed between psibar and psi, since it has a gamma function in it. Four places. |
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229 |
7 |
Oct 23, 2024 |
1st line below heading “A Hybrid Basis: Basis I”: before “lepton”, insert “mass terms and the” |
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229 |
7 |
Oct 23, 2024 |
(7-92): All psi and psibar factors should be primed. 6 places. |
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229 |
7 |
Oct 23, 2024 |
Pedagogic aid: In (7-93) below the equation for psi
prime, insert the equation for transforming from psi prime to psi with
underline squggle. That is, insert |
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230 |
7 |
Oct 23, 2024 |
(7-96): In the first row column vector/multiplet at the end, all fields should be primed. In the second row, the row vector/multiplet should also have all fields primed. |
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230 |
7 |
Oct 23, 2024 |
Last line on page: change “by” to “from”, and after “neutrinos”, insert “but not muon neutrinos or tau neutrinos”. |
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231 |
7 |
Oct 23, 2024 |
Pedagogic aid: Second line after (7-99), before “They”, insert “In other words, Basis II is simply the under wavy line basis, where we take each mass eigenstate as a new flavor state. Mass eigenstate 1 for both charged leptons and neutrinos is considered the electron generation; 2, the muon generation, and 3, the tau generation.” Also, at the end of the line just before (7-100), insert “From (7-89) with (7-99),” |
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247 |
7 |
June 16, 2022 |
Pedagogic aid: At end of 3rd paragraph (which ends in “pdf.”): Insert the following sentence. “Also see Chap. 16 herein, pgs. 475 and 491.” |
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250 |
7 |
Oct 23, 2024 |
Higgs field row, last column: Should be a factor of 1 over square root of 2 after the equal sign. New Bosons = row, last column: Delete square root of 2 in two places. |
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251 |
7 |
August 26, 2025 |
In some copies, but not all, (7-143): The subscripts 0 I 0 should be moved about one centimeter to the left, so there is no subscript on LLB, and the equation starts L = L0 +LI = L0 + LLB … |
Albert Clement |
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252 |
7 |
Sept 2, 2022 |
Pedagogic aid: Insert new sub-section between Sects. 7.5.3 and 7.5.4 with title “Leptons, Quarks, and Mass Matrices” and text as follows. “All of our work related to mass matrices can be summarized in a nutshell, as follows. · For quarks, we diagonalize the mass matrix, and · for leptons, we diagonalize the interaction (flavor) matrix (with the W bosons). Thus, · for quarks, the interaction (flavor) matrix (with the W bosons) is non-diagonal; and · for leptons, the mass matrix is non-diagonal.” |
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252 and 511 |
7 and 18 |
Sept 9, 2022 |
Pedagogic aid that I just discovered and would have liked to include in the text: A great overview chart of the standard model. See Standard_Model_Chart_by_Boyle . |
Latham Boyle |
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257-259 |
7 |
Oct 23, 2024 |
(7-179), (7-180), (7-181), and (7-185): Replace FWμν with Wμν. I inadvertently defined the same quantity with two different symbols. |
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266 |
8 |
Nov 26, 2024 |
Fig. 8-1, left hand figure. The subtitle should say “15-2” not “15-3”. |
David Scharf’s QFT class |
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280 |
8 |
Dec 14, 2024 |
(8-92), last line: Change the sign in front of gamma 5 to a minus sign. |
David Scharf’s QFT class |
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282 |
8 |
Dec 28, 2023 |
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Jim Dimech |
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290 |
8 |
Aug 12, 2023 |
1st line after (8-121), change second subscript f on p to i. |
David Lear |
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312 |
9 |
Sept 19, 2022 |
Eq. (9-65): Insert a minus sign after “Mk =” and insert “v << 1”. Eqs. (9-67), (9-70) and (9-71): change sign in all exponentials. |
Anthony Soong |
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312 |
9 |
July 28, 2022 |
Line below (9-71): Change “152” to “153” |
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364 |
11 |
March 4, 2025 |
See Tadpole correction. |
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369 |
11 |
May 1, 2025 |
(11-15), integral after first proportional to sign: Change lower limit from minus infinity to zero. |
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378 |
11 |
May 2, 2025 |
Sect. 11.3, sub-section titled “Equal Times Contractions and Tadpoles”: Replace “dur to … zero.” with “because the positron propagator had the same magnitude as, but opposite sign from, the electron propagator, and both must be added for the loop. This is Furry’s theorem for a single vertex fermion loop.” |
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392 |
12 |
May 12, 2025 |
Pedagogic aid: Line below (12-26): after “we define”, insert “(where the plus and minus superscripts do NOT denote electric charge, as gluons are (electric) chargeless, but are used in parallel with the notation of (12-26), where they do denote electric charge)” |
Alexandra Barnett |
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411 |
13 |
June 30, 2025 |
Line above (13-84): Change “and (13-32)” to (13-36),”. At end, add “and drop the caret notation of (13-36), as is common in the literature”. |
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412-512 |
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June 30, 2025 |
A number of pedagogic, but minor, changes are shown in the “Minor Corrections” list below. These may help you, but there are so many, I didn’t want to include them in this “Significant Corrections” list, as it is already so long. |
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450 |
15 |
Oct 14, 2022 |
Top line: After “in (15-51)”, insert “for the quark and gluon terms”. After “of (15-35)”, insert “which we have already found represents the ghost interactions,”. In Problem 3 statement, replace all words with “Problem 3 has been deleted.” |
Anthony Soong |
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462 |
15 |
June 30, 2025 |
Delete Prob. 3. |
Anthony Soong |
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492 |
16 |
Aug 12, 2023 |
Prob. 2, 1st line: change “first column”
to |
David Lear |
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509 |
18 |
Dec 17, 2022 |
Pedagogic aid: Just above Wholeness Chart 18-4, insert the following. “You may read in places that the total number of elementary particles is 25. By this counting there are 6 quarks, 3 charged leptons, 3 neutrinos, 3 intermediate vector bosons, 8 gluons, 1 photon, and 1 Higgs. Quark and lepton antiparticles are not counted. For example, the positron is not included, as it is the antiparticle of the electron. But for the bosons, antiparticles are included. The W- is the antiparticle of the W+, but both are counted. So, this method of counting seems internally inconsistent. However, in the high energy description, we have three W particles, the W1, W2, and W3, which are all different, none being an antiparticle of any other. So, with the high energy description, the elementary particle count of 25 is correct. Wholeness Chart 18-4 is for the low energy description.” |
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516 |
Index |
May 1, 2025 |
Under “commutation, insert “issue for spin 1, 377” |
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520 |
Index |
May 1, 2025 |
Under “Lagrangian, insert “spin 1 issue, 377” |
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520 |
Index |
May 1, 2025 |
Under “Lagrangian, QED, 369” insert “spin 1 issue, 377” |
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518-522 |
Index |
March 4, 2025 |
Before “fragmentation”, insert “Fourier transforms, 66” In group theory, weights, change “49,51” to “50” After “Lagrangian, e/w, interaction, low energy, 223, 234, 250” insert “, 292”. In operators, states vs fields, change “47” to “46” |
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Minor Corrections (should not impact learning process)
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Pg |
Chap |
Date Posted |
Minor Correction |
Reported by |
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viii and x |
Table and Preface |
Oct 5, 2023 |
Page numbers are on upper right and should be on upper left. |
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vii |
TOC |
June 16, 2022 |
16.8 Problems should be “16.9 Problems” |
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4 |
1 |
Oct 10, 2022 |
(1-1): font size too large |
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4 |
1 |
Oct 10, 2022 |
(1-2): font size of some subscripts too small |
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10 |
2 |
Jan 8, 2025 |
Sect. 2.1.1, 10th line: Change “teaching” to “learning” |
Mikhail Denisov |
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15 |
2 |
Dec 27, 2022 |
Line above
statement of Prob. 8: Delete “special”. Add sentence |
Mikael Djurfeldt |
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17 |
2 |
Aug 24, 2024 |
Last sentence on page: Add period at end. |
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28 |
2 |
April 1, 2025 |
(2-54): Change X,[X,Y] to [X,[X,Y]] |
Albert Clement |
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28 |
2 |
Aug12, 2023 |
Line above (2-54): Change “Hausdorf” to -Hausdorff - |
David Lear |
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37 |
2 |
May 11, 2024 |
Wholeness Chart 2-5, SU(3) row, last column: change superscript F to X. |
Glenn Rowe |
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43 |
2 |
Aug12, 2023 |
Heading at top of page: Delete “43” |
David Lear |
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52 |
2 |
Aug 30, 2024 |
(2-133): after “interval”, add “squared”. |
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56 |
2 |
April 1, 2025 |
(2-141): First matrix, 2nd row, 2nd column, change “21” to “22”, two places |
Albert Clement |
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63 |
2 |
Aug12, 2023 |
Prob. 29, 3rd line. Change period to question mark after “do”. |
David Lear |
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67 |
3 |
Oct 5, 2023 |
Next to last margin note: In some printings of the book only: After “Green”, insert “function”. |
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75 |
3 |
June 16, 2022 |
(3-37) and (3-38) should be aligned with right margin |
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77 |
2 |
April 1, 2025 |
(3-44), first line: Raise “1” subscript on r and r’ to same level as r and r’. |
Albert Clement |
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77 |
2 |
April 1, 2025 |
(3-45), first line: Change “Dαβ” to “DF αβ”. |
Albert Clement |
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123 |
5 |
June 27, 2025 |
Some soft cover copies: Bar over “o” should be over sigma. |
Albert Clement |
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125 |
5 |
June 27, 2025 |
(4-49) after second equal sign: On sigma, delete the nu subscript. |
Albert Clement |
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138 |
5 |
June 16, 2022 |
(5-17): delete extra period. |
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141 |
5 |
July 2, 2024 |
3rd line below (5-23), end of line: the L superscript on the next line should be at the end of this line. |
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169 |
6 |
Aug12, 2023 |
5th line: Delete comma at end of the line. |
David Lear |
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171 |
6 |
June 27, 2025 |
Some soft cover copies: 3rd margin note, superscript “0” should be subscript. |
Albert Clement |
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174 |
6 |
June 27, 2025 |
3rd line above Sect. 6.3.5: Change “call” to “called” |
Albert Clement |
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175 |
6 |
Oct 23, 2024 |
(6-45): It is probably better to have the definitions of W^mu nu and B^mu nu after the line with gauge bosons. |
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177 |
6 |
June 27, 2025 |
Line above (6-57): Add subscript nu to del. |
Albert Clement |
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178 |
6 |
June 27, 2025 |
(6-65) above arrow: Remove prime on last psi. |
Albert Clement |
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178 |
6 |
Oct 23, 2024 |
First line after (6-62): after “h.c.”, insert “in (6-48)” |
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183 |
6 |
Aug12, 2023 |
3rd line after (6-92): Closing quotation marks on I are the wrong way round. |
David Lear |
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184 |
6 |
Oct 23, 2024 |
4th line after (6-95): change “bra” and “ket” to “row” and “column” |
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184 |
6 |
Oct 23, 2024 |
1st line above Sect. 6.6: Delete “s” on “yields” |
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186,187,190 |
6 |
Oct 23, 2024 |
Figs 6-4, 6-5, and 6-6: The outgoing antineutrino should have its arrow pointing in the opposite direction. |
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190 |
6 |
June 17, 2022 |
Fig. 6-6 title: Change “Up” to “Down” |
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193 |
6 |
June 27, 2025 |
Line below (6-121): Change “or” to “of”. |
Albert Clement |
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213 |
7 |
Oct 23, 2024 |
Line above (7-25): after Sigma, insert “which here is not the spin operator”. |
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213 |
7 |
Oct 23, 2024 |
First line after heading “False Vacuum”: after V, insert “(see (7-6)”. |
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213 |
7 |
Oct 23, 2024 |
First line after heading “True Vacuum”: after V, insert “(see (7-14)”. |
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219 |
7 |
Oct 23, 2024 |
3rd line up from bottom of Wholeness Chart 7-3: before “boson”, insert “scalar”. |
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223 |
7 |
Oct 23, 2024 |
Second line after heading “Finding the e/w …”, change “250” to “252”. |
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223 |
7 |
June 16, 2022 |
4th line up from bottom: change “250” to “251” |
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229 |
7 |
Oct 5, 2023 |
Three margin notes: In some printings of the book only: electron, muon, and tau symbols are jumbled. |
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232 |
7 |
Aug12, 2023 |
Wholeness Chart 7-5, 2nd row, 3rd column: Insert a missing question mark at end. |
David Lear |
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239 |
7 |
June 16, 2022 |
4th line up from bottom: change “flavors” to “generations” |
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250 |
7 |
Oct 5, 2023 |
Wholeness Chart 7-10, last column, 5th row: delete extra space between 1 and V. |
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264 |
7 |
Oct 23, 2024 |
Prob. 1: After “mass term”, insert “in the field equation”. |
Park Hensley |
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271 |
8 |
Dec 14, 2024 |
Line above (8-30): After m_e, insert “in the numerator” |
Park Hensley |
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274 |
8 |
Sept 3, 2025 |
In some copies, but not all, (8-61): The + sign should be between E1 and E2. |
Albert Clement |
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280 |
8 |
Nov 13, 2024 |
Just above (8-93), change “Chap. 5” to “Chap. 7”. |
Park Hensley |
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333 |
9 |
Aug 12, 2023 |
Line above (9-181): Delete a comma at the end of the line. |
David Lear |
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358 |
10 |
Dec 18, 2024 |
2nd line on page: Before nu_L^c. delete extra space |
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363 |
11 |
June 30, 2025 |
Sect. 11.1.2: Delete first paragraph. In second paragraph delete “, better and … for” |
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364 |
11 |
June 30, 2025 |
3rd line on page: In front of “they”, insert “if they are real” |
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386 |
12 |
May 12, 2025 |
Pedagogic aid: Last paragraph on page, 2nd line: After “subscript” insert uppercase Psi^L_e. |
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389 |
12 |
May 12, 2025 |
Two lines above (12-16): Change “6-5, pg. 181” to “6-4, pg. 180”. |
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395 |
12 |
May 12, 2025 |
2/3 of way down page, paragraph beginning “Further, the …”, first line: delete comma after “attraction”. |
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395 |
12 |
May 12, 2025 |
2/3 of way down page, paragraph beginning “Further, the …”, next to last line: delete “, of course,” |
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395 |
12 |
June 30, 2025 |
4th line below (12-15): Change “181” to “180”. |
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406 |
13 |
June 30, 2025 |
Sect. 13.2.4, 2nd and 3rd lines: Underline (as definitions) “SU(3) charges”, “epsilon_3”, and “epsilon_8”. |
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407 |
13 |
June 30, 2025 |
Sect. 13.3, 2nd and 3rd lines: Underline “N_f quark flavors” and “SU(N_f) theory” |
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407 |
13 |
June 30, 2025 |
Last line on page: Underline “A underbracket^mu” |
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408 |
13 |
June 30, 2025 |
2nd line above (13-72): Underline “V subscript” |
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409 |
13 |
Aug12, 2023 |
Just above (13-78): Change double ll in “mulltiplet” to single l. |
David Lear |
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412 |
13 |
June 30, 2025 |
Pedagogic aid: Line above (13-92): at end of the line, add “two terms in the lst line of (13-89) become, after the true vacuum minimum (13-91) has been reached,” |
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413 |
13 |
June 30, 2025 |
5th footnote down: Change “2021” to “2025” |
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423 |
14 |
June 30, 2025 |
Wholeness Chart 14-1, lower right corner: Change “epsilon_3” to “epsilon_8” |
Alexandra Barnett |
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424 |
14 |
June 30, 2025 |
Next to last line: change “renormalize” to “normalize”. |
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426 |
14 |
June 30, 2025 |
Pedagogic aid. Line above (14-28): Insert “From (14-23) and “14-24),” |
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427 & 440 |
14 |
June 30, 2025 |
At end of Prob. 5 statement: Add “(times a constant)”. |
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432 |
14 |
June 30, 2025 |
Pedagogic aid. 2nd and 3rd lines after (14-44): Underline “Total flavor isospin I^F” and “I_3^F isospin” |
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432 |
14 |
June 30, 2025 |
Pedagogic aid. Wholeness Chart 14-4. 3rd column title: Insert “Flavor” after “Total”. 4th column title: Insert “Flavor” before “Isospin” |
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433 |
14 |
June 30, 2025 |
Pedagogic aid. 1st paragraph, 2nd line: Insert “(flavor)” before “isospin” and “(flavor)” before “hypercharge”. 2nd paragraph, next to last line: Insert “(flavor)” before “isospins”. |
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434 |
14 |
June 30, 2025 |
Pedagogic aid. Wholeness Chart 14-5. 4th column title: Insert “Flavor” before “Charge”. 4th column title: Insert “Flavor” before “Isospin”. ”. 5th column title: Insert “Flavor” before “Hypercharge”. In Title: After “Numbers” insert “of SU(3) Flavor”. Underneath chart, insert “Flavor charge = electric charge = Q above”. |
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437 |
14 |
June 30, 2025 |
Pedagogic aid. 1st line after (14-57): after “has”, insert “total (flavor) isospin”. 2nd line from bottom: After “7”, insert “(see pg. 238)” |
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450 |
15 |
Oct 17, 2022 |
(15-57): Remove integral sign on LHS |
Anthony Soong |
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458 |
15 |
Oct 13, 2022 |
Line after (15-108): 15-3 should have (c) after it instead of copyright symbol. |
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467 |
16 |
June 16, 2022 |
1st line after (16-4): After “(16-3)”, insert a right parenthesis. |
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497 |
17 |
June 30, 2025 |
Pedagogic aid. 2nd line below (17-15): Before “photon”, insert “virtual”. |
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496 |
17 |
June 30, 2025 |
Pedagogic aid. Line above (17-11): Before “photon”, insert “virtual”. Two lines below (17-13): Same insertion. |
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498 |
17 |
June 30, 2025 |
Sect. 17.2.4, 2nd line: Delete “with substructure” and before “photon” insert “virtual”. |
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512 |
18 |
June 30, 2025 |
Paragraph above Sect. 18.2.2: Delete from “i)” to “2)”. This issue was resolved in 2025 and now theory and experiment match to good accuracy. |
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512 |
18 |
June 30, 2025 |
Pedagogic aid. Next to last paragraph, after “all”, insert “(including, in particular, flipped US(5) theory)” Last paragraph, 2nd line: Before “resolution”, insert “clear”. |
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513 |
18 |
June 30, 2025 |
Sect. 18.2.3, 1st paragraph: Delete everything from “, most” to “here.”. |
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513 |
18 |
June 30, 2025 |
Under general relativity: Revise to include Moore, Carroll. Others possibly. |
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509 |
18 |
June 16, 2022 |
Wholeness Chart 18-4: Make shaded rows darker. |
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516 |
Index |
May 1, 2025 |
Delete “CP violation, 438”. Under “CP”, insert “violation, 438” |
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519 |
Index |
June 23, 2023 |
Under group theory, weights, change “49,51” to -50- |
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520 |
Index |
March 20, 2025 |
Under irreducible representation, change “55” to -54- |
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526 |
Index |
June 30, 2025 |
Under “vector bosons”, add “issue with commutation relations, 377” |
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