QFT books to continue after Schwartz

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Discussion Overview

The discussion revolves around recommendations for quantum field theory (QFT) textbooks suitable for someone who has completed a first course using Matthew Schwartz's "Quantum Field Theory and the Standard Model" and is seeking to deepen their understanding while also reviewing previous material. The scope includes theoretical concepts, pedagogical approaches, and specific topics like path integrals and non-abelian gauge theories.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion over certain concepts in Schwartz's book, particularly the "embedding of particles into fields," and seeks alternatives that provide clearer explanations.
  • Another participant suggests Duncan's book as a suitable option that is more advanced than Schwartz but less so than Weinberg.
  • Some participants advocate for using both Duncan and Weinberg, noting that Duncan covers topics not addressed by Weinberg, while also appreciating Weinberg's treatment of representation theory and the linked-cluster theorem.
  • There is a shared appreciation for Duncan's section on Haag's theorem, indicating its relevance and clarity for some readers.

Areas of Agreement / Disagreement

Participants generally agree that Duncan's book is a good intermediate choice, but there is no consensus on the best approach to tackle Weinberg's book, with some finding it challenging while others value its depth.

Contextual Notes

Participants express varying levels of comfort with the complexity of different texts, highlighting the subjective nature of learning QFT and the importance of individual preferences in pedagogical style.

leo.
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I have taken one first QFT course last year which used Matthew Schwartz "Quantum Field Theory and the Standard Model" book. The course went all the way to renormalization of QED, although path integrals weren't discussed.

Now I want to continue learning QFT and also I want to make a second read of the contents of the first course and I'm quite confused which book to pick.

There are no other QFT courses in the university, so that taking a more advanced second course isn't an option.

Now I confess that there are a few topics that in the way that Schwartz explained, I didn't really get it. Schwartz does a quite good job in teaching how to compute things, but there are a few things that I want to really understand a little better the underlying reason. One example of this is what Schwartz calls the "embedding of particles into fields". For me his explanation is highly confusing and handwavy.

Now it seems that Weinberg's book is actualy considered the best one (he expends one whole chapter to explain this embedding of particles into fields stuff). But I don't know why, I feel Weinberg's book extremely hard. I've tried a few times to go over it. It took me days to progress just a little and in the end I gave up.

So what are other books than Weinberg's that I can pick, considering I have already a one semestre course in QFT following Schwartz? I want both to review what I've seem and to progress in QFT further (learn path integrals, non-abelian gauge theories, etc).
 
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I think Duncan and Weinberg together are the answer. Duncan covers many things that are not covered by Weinberg. My favorite is Sect. 10.5 "How to stop worrying about Haag's theorem" ;-))). My favorite chapters in Weinberg are those on representation theory of the Poincare group and particularly the emphasis on the importance of the linked-cluster theorem, which made me stop worrying about Einstein's "spooky action at a distance" quibble and the incompatibility of the Copenhagen doctrine and the unncessity of the socalled collapse of the quantum state.
 
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vanhees71 said:
My favorite is Sect. 10.5 "How to stop worrying about Haag's theorem" ;-))).
Mine too. :smile:
 
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