---
product_id: 14575280
title: "The Quantum Theory of Fields, Volume 2: Modern Applications"
price: "664 zł"
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---

# The Quantum Theory of Fields, Volume 2: Modern Applications

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Review: Five Stars - If you want to understand QFT deeply, don't look elsewhere. Just read this (and the first volume).
Review: physical motivation, as well as mathematics, alongside "effective field theory approach " - In Memoriam: Steven Weinberg (May 3, 1933 – July 23, 2021) "He continued to be an ambassador for science throughout his life." (Austin, UT News, 24 July 2021). As many have noted, it is wise to study Weinberg's volume one before attempting his second volume. As with the first volume, the second requires undivided attention. The volumes refer back and forth to one another. For instance: "it is necessary that the action should contain all possible terms allowed by the assumed symmetries of the theory (read here, page 234), then also volume one (page 506). Now, volume one asks: "Is Renormalization Necessary ?" (page 521) and refers to volume two for further details regards low-energy Pions. In volume one read: "a formula like #9.5.64 allows us to derive nonperturbative results by using topological theorems to derive information about the eigenvalues of kernels" (page 413) and this will be detailed in volume two. Wise to keep both volumes at hand. Also, keep two references handy: Hardy's Divergent Series (referenced page 294, regards Borel transformation) and MIT volumes published 1980, Encyclopedia of Mathematics (referenced page 238, regards De Rham Cohomology). Being useful, whether or not you study Steven Weinberg ! Now, Steven Weinberg words of wisdom: (1) "There is today a widespread view that interacting quantum field theories that are not asymptotically free, like quantum electrodynamics or the scalar field theory with phi-four interaction, are not mathematically consistent; fortunately, the question of whether a theory is asymptotically free for some finite range of coupling constants can be settled by perturbative calculations." (page 138). (2) "it is possible that the quarks and gluons exhibit some new kind of interaction at energy scale much larger than the scale characteristic of quantum chromodynamics." (page 153). (3) "Spontaneous symmetry breaking actually occurs only for systems that are infinitely large." (page 164). (4) "Spontaneously broken local symmetries do not lead to Goldstone Bosons." (page 172). (5) "Effective field theories provide the most convenient method for working out the consequences of symmetries and the general principles underlying quantum field theory." (page 209). (6) "As has happened earlier (dispersion relations and Feynman's diagrammatic rules) the effort to bypass quantum field theory led to valuable general results, but results that can be understood as general properties of quantum field theory." (page 252). (7) "A superconductor is simply a material in which the electromagnetic gauge invariance is spontaneously broken." (page 332). (8) " This feature of superconductivity, that a Goldstone Boson forms for an attractive potential--however weak the potential may be--is a consequence of the existence of a Fermi surface, which enhances long-range effects." (page 351). Finally, I highlight the efficacy of Steven Weinberg's approach: the methodology he embraces serves the student for many a year, that is, many a year beyond any 'required' coursework. From General Relativity to Cosmology to Quantum Mechanics and Quantum Field Theory--I have benefited enormously from his monographs (Or, stronger: I did not truly understand Quantum Field Theory until studying his work).

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #1,017,551 in Books ( See Top 100 in Books ) #32 in Particle Physics #195 in Mathematical Physics (Books) #444 in Quantum Theory (Books) |
| Book 2 of 3  | The Quantum Theory of Fields 3 Volume Hardback Set |
| Customer Reviews | 4.9 4.9 out of 5 stars (66) |
| Dimensions  | 6.69 x 1.16 x 9.61 inches |
| Edition  | Illustrated |
| ISBN-10  | 0521670543 |
| ISBN-13  | 978-0521670548 |
| Item Weight  | 1.95 pounds |
| Language  | English |
| Print length  | 489 pages |
| Publication date  | May 9, 2005 |
| Publisher  | Cambridge University Press |

## Images

![The Quantum Theory of Fields, Volume 2: Modern Applications - Image 1](https://m.media-amazon.com/images/I/61tqhOsiB9L.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Five Stars
*by S***Y on October 1, 2017*

If you want to understand QFT deeply, don't look elsewhere. Just read this (and the first volume).

### ⭐⭐⭐⭐⭐ physical motivation, as well as mathematics, alongside "effective field theory approach "
*by G***Y on June 17, 2018*

In Memoriam: Steven Weinberg (May 3, 1933 – July 23, 2021) "He continued to be an ambassador for science throughout his life." (Austin, UT News, 24 July 2021). As many have noted, it is wise to study Weinberg's volume one before attempting his second volume. As with the first volume, the second requires undivided attention. The volumes refer back and forth to one another. For instance: "it is necessary that the action should contain all possible terms allowed by the assumed symmetries of the theory (read here, page 234), then also volume one (page 506). Now, volume one asks: "Is Renormalization Necessary ?" (page 521) and refers to volume two for further details regards low-energy Pions. In volume one read: "a formula like #9.5.64 allows us to derive nonperturbative results by using topological theorems to derive information about the eigenvalues of kernels" (page 413) and this will be detailed in volume two. Wise to keep both volumes at hand. Also, keep two references handy: Hardy's Divergent Series (referenced page 294, regards Borel transformation) and MIT volumes published 1980, Encyclopedia of Mathematics (referenced page 238, regards De Rham Cohomology). Being useful, whether or not you study Steven Weinberg ! Now, Steven Weinberg words of wisdom: (1) "There is today a widespread view that interacting quantum field theories that are not asymptotically free, like quantum electrodynamics or the scalar field theory with phi-four interaction, are not mathematically consistent; fortunately, the question of whether a theory is asymptotically free for some finite range of coupling constants can be settled by perturbative calculations." (page 138). (2) "it is possible that the quarks and gluons exhibit some new kind of interaction at energy scale much larger than the scale characteristic of quantum chromodynamics." (page 153). (3) "Spontaneous symmetry breaking actually occurs only for systems that are infinitely large." (page 164). (4) "Spontaneously broken local symmetries do not lead to Goldstone Bosons." (page 172). (5) "Effective field theories provide the most convenient method for working out the consequences of symmetries and the general principles underlying quantum field theory." (page 209). (6) "As has happened earlier (dispersion relations and Feynman's diagrammatic rules) the effort to bypass quantum field theory led to valuable general results, but results that can be understood as general properties of quantum field theory." (page 252). (7) "A superconductor is simply a material in which the electromagnetic gauge invariance is spontaneously broken." (page 332). (8) " This feature of superconductivity, that a Goldstone Boson forms for an attractive potential--however weak the potential may be--is a consequence of the existence of a Fermi surface, which enhances long-range effects." (page 351). Finally, I highlight the efficacy of Steven Weinberg's approach: the methodology he embraces serves the student for many a year, that is, many a year beyond any 'required' coursework. From General Relativity to Cosmology to Quantum Mechanics and Quantum Field Theory--I have benefited enormously from his monographs (Or, stronger: I did not truly understand Quantum Field Theory until studying his work).

### ⭐⭐⭐⭐⭐ Five Stars
*by J***K on January 31, 2016*

Excellent book!

## Frequently Bought Together

- The Quantum Theory of Fields, Volume 2: Modern Applications
- The Quantum Theory of Fields, Volume 1: Foundations

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