Corrections to Student Friendly Quantum Field Theory

Corrections to revised Second Edition (May 2014) of

Student Friendly Quantum Field Theory

Note: 1st edition and 2^nd edition (original) users also need to check this 2^nd edition revision corrections page for additional corrections.

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Significant Corrections (may impact learning process)

Pg	Chap	Date Posted	Significant Correction	Reported by (blank = the author)
		Nov 25, 2014	Solutions to Problems booklet now available. See problem solutions booklet .
22	2	June 16, 2015	Paragraph right before Sect 2.5.1. Replace entire paragraph/sentence with Note that, due to subtleties in the theory, non-relativistic chart relationships are most easily, and best considered at this point, expressed in Cartesian coordinates, where xⁱ → X_i and p_i = pⁱ.
23	2	June 12, 2015	Box 2-2. My purpose in this box was to give a derivation of (B2-2.3) that was much simpler than that in other books. There are some subtleties involved, but it is best not to worry about them until after you have mastered QFT. If at that time, you feel up to it, check out Box2_2_comments
25-26	2	June 12, 2015	Line above (2-28) delete the minus sign after the equal sign. In (2-29), delete the minus sign before “i”.
30	2	June 16, 2015	(2-42) and (2-43): On RHS, insert (Cartesian system, where p_j = p^j = 3-momentum) (Correction posted on June 12, 2015 for these equations has been removed and replaced with this one.)
34	2	July 16, 2014	First line after (2-55). After “13.)”, insert Note from (2-55) that p^0 = gamma mc = E/c, where E is relativistic energy, and p^i = relativistic 3-momentum.	Jimmy Snyder
40	3	June 12, 2015	Eq (3-3). The subscript “i” on p_i should be a superscript.
42	3	June 11, 2015	Eq (3-5). The subscript “i” on each p_i should be a superscript.	Doug McKenzie
49-50	3	June 23, 2014	2nd line of text below (3.34), “(… Hermitian)”, should be (… Hermitian conjugate) . Same thing on pg. 50, just above (3-36).	Jimmy Snyder
53	3	Apr 23, 2015	There are some subtleties associated with (3-47) that merit more explanation in an Appendix. See Eq (3-47) subtleties, which includes the new Appendix E plus an elaboration.	Michael Heiss
68	3	Apr 23, 2015	Top line: “Appendix B” should be Appendix C	John Davidson
68	3	July 16, 2014	Sect 3.11.4, 3^rd paragraph, next to last line: before “eigenstates”, insert linearly independent	Jimmy Snyder
79	3	July 16, 2014	(3-148), 4^th (last) arrow, LHS: “x” should be x’ . Two places.	Jimmy Snyder
82	3	Jan 17, 2015	Prob 3, 1^st line: Replace “(3-27)” with (3-25) --	Michael Heiss
82	3	July 8, 2014	Prob. 3. Change “of negative unity” to is negative . One would have to assume a magnitude of unity, which would make sense if the value were positive.
90	4	Aug 27, 2014	Eq (4-27) was not explained clearly. On the RHS the integral is zero for p not = zero, but is V for p = 0. The spinor inner product in front of the integral is zero for p = 0. So, in any case, (4-27) is zero.	Andrew Solomon
118	4	June 12, 2014	Step 2 and Step 3 near top of page: “commutators” should be anti-commutators	Sukruti Bansal
121	4	July 16, 2014	(4-146), second line: insert a minus sign after the 2^nd and 3^rd equal signs.	Holger Teutsch
132	4	Aug 21, 2014	Prob. 14. D_r(p) should have a dagger on it. Also, just after that, insert in (4-29)	Jimmy Snyder
146	5	June 11, 2015	Eqs (5-45) and (5-46). The subscript “i” on each p_i should be a superscript.	Doug McKenzie
147	5	Apr 21, 2015	In (5-50), the RHS should be summed over r, as it is done (correctly) in Wholeness Chart 5-4, pg. 156.	Ben Balmforth
180	6	Sept 15, 2014	Prob. 13. Delete part ii). Upon further reflection, I believe the logic there is flawed. Part i) suffices to make the point.	Holger Teutsch
211 to 212	7	Apr 21, 2015	It may be cumbersome keeping track of terms between (7-110) and (7-111). See From (7-110) to (7-111), which should help shortcut the tedium in doing so.	Kurt Huddleston
213c	7	Sept 18, 2014	Prob. 11: At the end, before the period insert , if that commutator equals a constant	Holger Teutsch
233	8	Sept 18, 2014	In (8-85) delete the underbracket at the end under the polarization vectors. Replace the paragraph following that thru (8-86) with pg 233 revision .	Holger Teutsch
373	14	June 26, 2015	Prob. 3. Subscript C1 should be C2..	Jimmy Snyder
288	11	June 19, 2014	Paragraph including (11-8) and (11-9): delete this paragraph and the associated margin note. The sign on E^2 in (11-8) is wrong and thus (11-8) does not equal the negative of energy density. This paragraph was as aside (not part of the theory development) and was intended to be a simple and intuitive insight into the LHS of (11-8). Unfortunately, the issue is neither simple nor intuitive, but delving into it in proper depth would take us off on a tangent away from the focus of the chapter.	Bill Foster
297	11	Sept 22, 2014	Above (11-40), add a footnote: The term “gauge covariant derivative” is different from, and should not be confused with, the “covariant derivative” of general relativity (and more generally, tensor analysis). It is unfortunate that similar nomenclature is used for the two cases. In the QFT we are studying, spacetime is flat (Minkowski space) and we use a Lorentz metric, so the covariant derivative of GR has Christoffel symbol of zero. This is made more confusing by the common dropping of the word “gauge” in QFT when referring to the gauge covariant derivative. You often have to glean the meaning from context.	Thomas Fowler
301	11	Aug 15, 2014	Prob. 9. To make things a little easier to understand: In 2^nd line insert fermion before “field”. At end of last line, insert “Note that .”
329	13	Sept 16, 2014	(13-36). Exponent on e₀ should be 4 not 2. Before that factor, insert a minus sign.	Holger Teutsch
393	15	Sept 22, 2014	(15-107). The fermion propagators need to be sandwiched between the vertex gamma matrices and the k in the denominator needs to have a slash through it. See (15-107) top row rev	Holger Teutsch
431a	16	Sept 9, 2014	Last line: Change “and (16-17)” to (16-17), and (16-28) --
431b	16	Sept 9, 2014	End of 1^st paragraph: After the equal sign, insert “g²”
421-423	16	Oct 31, 2014	Sect 16.4.6, Step #2 was not very clear. The revision, Sect 16.4.6 revision, should be considerably easier to understand. Note that Prob. 9 in this chapter is now deleted, as it related to material in Sect. 16.4.6 that was removed in this revision.	Holger Teutsch
431b	16	Sept 22, 2014	Prob. 2 can be expressed more clearly with the following changes. 4^th line: change “=” to goes to . Same line: after “interactions” insert , since there is no g_μν in the scalar propagator .	Holger Teutsch
485	17	Oct 3, 2014	Prob. 3: The hint actually makes it more difficult. Do not express momentum as shown. Replace the hint with: “Use , a similar relation for particle #2, and the 3-momentum balance equation [where total 3-momentum is zero in the COM] to find . Divide this by the energy balance equation. Then add and subtract the energy balance equation from your result. “	Holger Teutsch
491-509	18	July 21, 2014	Chap. 18 has some spots that needed more extensive explanations, and in one section, had a missing constant through several equations. The revised pages can be found at Chap 18 revised pgs. Red font indicates changed material. Note that the former appendix added little and has been replaced with a new appendix, which compares and contrasts the NRQM background for the path integral approach as handled by different texts.	Luc Longtin helped in innumerable ways on this. Holger Teutsch and Christian Maennel also contributed
503-504	18	June 12, 2014	An alternative derivation of the result in Sect. 18.9.2 may be easier to follow for some. See Alternative derivation for Sect. 18.9.2	Luc Longtin
504-505	18	June 12, 2014	Line above (18-57), after comma at end of line, insert, where N = n + 1 = number of functions f_greek index ,
505	18	June 12, 2014	(18-59): On RHS, delete factor of sq root (2 pi hbar). Delete middle expression completely. (18-60): Delete same factor in denominator.
506	18	July 18, 2014	Wholeness Chart 18-4, 1^st column, 3^rd row: Delete “(functionals)”

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Minor Corrections (should not impact learning process)

Pg	Chap	Date Posted	Minor Correction	Reported by
6	1	June 23, 2014	6^th line: change “can not” to cannot	Jimmy Snyder
15	2	June 23, 2014	3^rd line: change “M^0” to (MeV)^0, i.e., M=0	Jimmy Snyder
22	2	June 23, 2014	Box 2-1, next to last paragraph, 2^nd line: delete extra space and period before closing parenthesis.	Jimmy Snyder
23	2	June 23, 2014	3rd line of item 6 at the top of the page. "Box" should be Box 2.2 .	Jimmy Snyder
26	2	June 23, 2014	eqn (2.29), the S after the last equal sign is separated from the open bracket.	Jimmy Snyder
26	2	June 23, 2014	eqn (2.31) the size of the brackets is asymmetric.	Jimmy Snyder
26-28	2	June 23, 2014	eq (2-34): the superscript S is the wrong typeface, 2 places; eqn (2.37): ditto, 4 places; also in other places	Jimmy Snyder
27	2	June 23, 2014	Box 2.3, 3rd paragraph. Inspection is sufficient to reach these conclusions if H is hermitian, which it is.	Jimmy Snyder
27	2	June 23, 2014	Box 2.3, 4th line from the bottom. change "eigenstate state" to eigenstate	Jimmy Snyder
28	2	Sept 17, 2014	Wholeness Chart 2-4. Top RH box. All quantities between the bra and ket should be inside parentheses.	Jimmy Snyder
32	2	June 23, 2014	2^nd line: “Preface” should not be capitalized	Jimmy Snyder
32	2	June 23, 2014	above (2.45), there should be a space between “See” and “Sect” and a period after “Sect”	Jimmy Snyder
32	2	July 16, 2014	The double bracket on the RHS of (2-47) should be a single bracket.	Jimmy Snyder
36	2	June 23, 2014	Prob. 4: First sentence at end, delete one period. Part c), remove period after first alpha subscript.	Jimmy Snyder
36	2	June 12, 2014	Prob. 4, 1^st line: superscript “alpha beta” on “g” should be smaller font size.
43	3	June 23, 2014	2nd line below (3.9), the dagger is placed too far to the upper right of B_n.	Jimmy Snyder
44	3	June 23, 2014	Below (3.13) and also text below (3.15)(44), the dagger on B is misplaced. Three instances.	Jimmy Snyder
46	3	July 16, 2014	3^rd line after (3-24): subscript “ k’ “ should have prime not apostrophe.	Andrew Solomon
53-54	3	Aug 20, 2014	Eqs (3-51), (3-52), (3-53) the omegas in the exponents should all be omega_k.	Jimmy Snyder
57	3	July 9, 2014	Above (3-65), after “examples,”, insert where k not equal k’,	Jimmy Snyder
57	3	July 9, 2014	Paragraph above Sect. 3.5 headin, 1st line, “of LHS” should be “of the LHS”.	Jimmy Snyder
58	3	July 9, 2014	In eqn (3-72), the underbracket is redundant given the text that follows it.	Jimmy Snyder
61	3	July 9, 2014	In the 2nd line on the page, there is an extra period after i.e.,	Jimmy Snyder
61	3	July 9, 2014	Sect. 3.6.6, last paragraph, next to last line: “of this book”. should say of this book's publication	Jimmy Snyder
61	3	July 9, 2014	The title of section 3.7.1 should have a comma between “Currents” and “Operators”.	Jimmy Snyder
64	3	July 16, 2014	Sect. 3.8.3, 2^nd line: delete extra space before “and”
65	3	July 16, 2014	Chart 3-1; Fermions column, 3^rd box under heading: delete “the”.	Jimmy Snyder
67	3	July 16, 2014	5^th line below (3-112). Change“(not eigen)” to (not necessarily eigen)	Jimmy Snyder
69	3	July 16, 2014	Wholeness Chart 3-3, 3^rd row under headings: Before “frequency” insert angular .	Jimmy Snyder
71	3	Apr 23, 2015	Second line; should be "(interaction).” rather than “(interaction.)”	John Davidson
74	3	July 16, 2014	Next to last line on pg. The subscript 0 on k should be smaller font.	Jimmy Snyder
75	3	July 16, 2014	In the text below (3-136), Insert a space between “see” and “(3-2)”.	Jimmy Snyder
75	3	July 16, 2014	paragraph to the right of Figure 3-5, 2^nd line of text. Change “still c.c.w.” to still counter clock-wise [ccw], as in Fig. 3-4	Jimmy Snyder
79	3	July 16, 2014	From (3-149) to (3-152) three different forms are used to symbolize the differential element in 3D position space, dx, d³x, and d³x. These should all be the same for consistency. Take your pick.	Jimmy Snyder
82	3	June 23, 2014	Prob. 2: the dagger on B is misplaced; Prob. 3: dagger on B_k is misplaced	Jimmy Snyder
82	3	Aug 21, 2014	Prob. 12, 5^th line: after “different from” insert (orthogonal to)	Jimmy Snyder
92	4	Apr 23, 2015	Eq (4-36) under bracket: “(p)” should be just after "u_r-dagger” not after gamma^0.	John Davidson
94	4	Nov 3, 2014	Box 4-1: 4^th and 5^th eqs need to be aligned with others
107	4	June 12, 2014	Box 4-3: Equation numbers need to be aligned.
115	4	Apr 23, 2015	Second line of section 4.9.2: move period in "… pseudo-vector).” inside parenthesis.	John Davidson
122	4	June 12, 2014	exponents should be larger font size.
127	4	June 12, 2014	Conclusion #2: Remove underlining on whole sentence. Leave underlining on “Conclusion #2”
133	4	Aug 21, 2014	Prob. 25. Change period at end to question mark.
143	5	Apr 23, 2015	3rd line below Fig. 5-2: In "del X A”, “X" needs to be reformatted.	John Davidson
148	5	June 12, 2014	(5-54) and (5-56): “a” and “b” should be larger font.
149	5	Apr 23, 2015	4th side note: 1^st “RQM” should be QFT	John Davidson
150	5	June 12, 2014	(5-68): k^2 in denominator should be larger font size.
151	5	Apr 23, 2015	Eq (5-69): ik_mu RHS has different font point sizes.	John Davidson
151	5	Apr 23, 2015	Ref to original papers by Gupta and Bleuler should be added: K. Bleuler, Eine neue Methode zur Behandlung der longitudinalen und skalaren Photonen, Helvetica Phys. Acta 23 (1950), 567586. S.N. Gupta, Theory of longitudinal photons in quantum electrodynamics, Proc. Phys. Soc. Sect.A. 63 (1950), 681691.	John Davidson
156	5	June 12, 2014	Wholeness Chart 5-4, 2^nd row of cells from bottom: exponent “ikx” should be smaller font size.
179	6	Aug 27, 2014	Probs. 1, 2, 4, and 6: Font for primes should be changed so they look more like primes than superscript commas.	Holger Teutsch
180	6	Aug 27, 2014	Prob. 12, end of 3^rd line: gamma^mu should be larger font.
183	7	June 12, 2015	Sect. 7.1.1, second line: “Gaussian” should be “Heaviside-Lorentz”.
184	7	Apr 23, 2015	Eq (7-13): subscript “I” should be italic	John Davidson
185	7	Apr 23, 2015	Eq. (7-15): Last underbracket superscript “I” should be 1.	John Davidson
188	7	Sept 17, 2014	Wholeness Chart 7-1. RH column for SP, HP, and IP.. All quantities between the bra and ket should be inside parentheses.	Jimmy Snyder
192	7	Sept 17, 2014	(7-39). All quantities between the bra and ket should be inside parentheses.	Jimmy Snyder
211	7	Apr 21, 2015	In (7-110) first term in middle row, underbracket relation. The [A₁^d,C₃^c] should be [A₁^d,C₃^c]_-/+, i.e., it should have minus/plus subscript as all other brackets in the equation do.
219	8	June 23, 2014	Box 8.1, last paragraph, 1st sentence: delete extra period	Jimmy Snyder
222	8	Apr 23, 2015	Eq (8-30), last row: under bracket should not include d^4k	John Davidson
233	8	July 2, 2014	(8-85) and (8-86): “delta^ (k k′)” should be delta^(4) (k k′)
233	8	Nov 3, 2014	6^th line up from bottom: insert hyphen after “4”.
235	8	Sept 18, 2014	(8-89) should have a minus sign for the RHS	Holger Teutsch
236	8	Oct 6, 2014	B. 4., end of 2^nd line: Insert “r represents spin state for fermions and polarization state for photons, ( (4-93) and (4-94), pg. 111, may be of help below),”	Thomas Fowler
255	9	July 16, 2014	(9-3) 2^nd line: parenthesis before N should be non italic. at end of last line: add )d⁴x₁ d⁴x₂d⁴x₃
256	9	Apr 23, 2015	3^rd line: the x_i should be a subscript to the (…) term rather than in-line with it.	John Davidson
265	9	Oct 28, 2014	Wholeness Chart 9-1: Top row, make arrow non italic.
265	9	June 12, 2014	Prob. 1, at end: Change period to question mark.
274	10	June 19, 2015	In (10-8) and throughout this sections, change N to script N (representing number density per unit k.
277	10	June 12, 2014	1^st margin note: Delete space between “usual” and “type”
285a	10	Dec 24, 2014	eq (10-37): make “lim” symbol smaller font
305	12	June 12, 2014	6^th and 7^th bullets: alpha and pi should be smaller size.
305	12	June 12, 2014	Under (12-1): in ket, remove space after “f”.
316	12	June 12, 2014	Paragraph above Fig. 12-4: “Figure” should be “Fig.”
323	13	Apr 23, 2015	Eq (13-5): A(lambda, m) goes to - infinity rather than + infinity.	John Davidson
325	13	Apr 21, 2015	Gordon’s identity (13-18) should have a box around it, as it is important in a number of places in subsequent chapters. But, it is not worth trying to memorize it.
343	14	Apr 23, 2015	line 2: change ”,to” to to,	John Davidson
350	14	June 12, 2014	Wholeness Chart 14-1: After heading “Short cut route”, “Sect. 0” should be Sect. 14.2.3
372	14	Sept 17, 2014	(14-99). The e’s inside the bra and ket should be primed.	Holger Teutsch
403	16	June 12, 2014	top line: lower case “phi” should be upper case “Phi”. 2 places.
405	16	Oct 28, 2014	Fig. 16-1: Correct spacing on figure title. (Only occurred in May 2014 revision, not earlier versions.)
419	16	June 12, 2014	(16-72) and (16-72): (2 pi)^3 in denominators should be larger font size. 3 places
422	16	Oct 28, 2014	Eq (16-83): Delete one of the two periods at the end
429	16	Apr 23, 2015	Last line of paragraph starting with “Rather…”, move period in ”.)” to outside of parenthesis.	John Davidson
431b	16	Sept 9, 2014	3^rd line: change “[1 1 0 0]” to -- [1 1 0 0]^T --
485	17	Sept 9, 2014	Problem 1, 3^rd line: After “Find” insert the --.
485	17	Oct 3, 2014	Prob 3, 2^nd line, 1^st word: Delete “s” at end of “particles”.
493	18	Apr 23, 2015	2^nd line after eq (18-19), end of line: Period should be outside parenthesis.	John Davidson
504	18	June 12, 2014	(18-52): subscript “a” should be alpha . 2 places. Also “dx” too small, 3 places.
504	18	Oct 28, 2014	Eq. (18-55): In the exponent, delete spaces on either side of “delta t”
506	18	Oct 28, 2014	2nd line: delete “quantum field theory”
506	18	July 18, 2014	Wholeness Chart 18-4, 1st column, 3^rd row: change “Dynamic” to Dynamical . 2 places.
506	18	July 18, 2014	Wholeness Chart 18-4, 1^st row: change “phidot” to phi,_mu
507	18	July 18, 2014	Wholeness Chart 18-4, 1st column, 3^rd row: change “Dynamic” to Dynamical
507	18	July 18, 2014	Wholeness Chart 18-4, 2^nd part “Quantum Theories”, 3^rd column, 4^th row: change “phidot” to phi,_mu
514	19	Oct 6, 2014	B. 4., end of 2^nd line: Insert “r represents spin state for fermions and polarization state for photons, ( (4-93) and (4-94), pg. 111, may be of help below),”	Thomas Fowler
522	index	Oct 6, 2014	After “Feynman rules, 224, 236, 513”, insert , 514 .

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