QFT Textbook Recommendations and Discussion

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Discussion Overview

The discussion revolves around recommendations and evaluations of various textbooks on Quantum Field Theory (QFT), including works by Peskin and Schroeder, Zee, Kaku, and Greiner. Participants share their experiences with these texts and discuss prerequisites for studying QFT, including the necessary mathematical background.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants express that Zee's book provides more insight compared to Peskin and Schroeder, particularly for those who have already studied P&S.
  • Others suggest that Peskin and Schroeder and Zee complement each other, with each covering aspects the other lacks.
  • There is a question regarding the prerequisites for QFT courses, with some humorously suggesting that extensive mathematical study is required.
  • One participant recommends Zee's text as a suitable introductory book, while noting that Peskin and Schroeder is more technical.
  • Concerns are raised about the accessibility of Greiner's series, with mixed opinions on its usefulness and engagement level.
  • Some participants mention the importance of a solid background in relativistic quantum mechanics and suggest specific texts for that purpose, including Weinberg's volumes.
  • There is a sentiment that Greiner's series may be tedious but could be beneficial for honing calculational skills after learning the subject from other sources.

Areas of Agreement / Disagreement

Participants generally agree that different textbooks have unique strengths and weaknesses, but there is no consensus on which is the best introductory text for QFT. Opinions on Greiner's series are particularly divided, with some finding it boring while others see its value for practice.

Contextual Notes

Participants mention various mathematical prerequisites, including group theory, Hilbert space analysis, and topology, but do not resolve the extent to which these are necessary for studying QFT.

vanesch
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Hello all,

I'm reading through this book now and I'd like to know if there are other people who are also doing so, have read it or are planning to read it in order to have a discussion about it.
In fact, I've read before about the first half (a bit more) of Peskin and Schroeder and I think that Zee gives a lot more insight, but probably only because I already went through P&S. Do you think that the approach of Zee is intelligible on a first contact ?

cheers,
patrick.
 
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They complement one another well - they each have what the other lacks. Another book I am reading is Kaku's book on field theory - it has a very strong group theory flavor, and again is strong in what P and S, and A. Z's books lack.
 
What exactly are the prerequisites for any course in QFT? And is Zee's text the best as an introductory text? Do you have to study relativistic QM in advance? and what is a good book about that subject to read at first?
 
da_willem said:
What exactly are the prerequisites for any course in QFT?
Several lifes to study math I guess :wink:
You might prefer to learn the new math whenever you encounter it. The problem is that group theory is a rather long way. See Georgi's "Lie Algebras in particle physics" (FIP). You would also need a serious background in Hilbertean analysis. Topology is welcome when it comes to nonperturbative stuff... :cry: But math are so beautiful, they are woth by themselves :biggrin:

da_willem said:
And is Zee's text the best as an introductory text? Do you have to study relativistic QM in advance? and what is a good book about that subject to read at first ?
I would advise Zee's book as a first reading. And I really agree with the fact that PS and Z are complementary. PS is far more technical. Z goes straight to the point, sometime hiding difficulties.

For an introduction to RQM, see 2nd chapter of Weinberg's fisrt volume. (maybe : by also Wainberg's 3-volumes book. :rolleyes: )

Another subject on which I would like to have people's opinion : would you advise student to avoid Greiner's series ? I should have I guess :-p
 
I have the book, but it's still too advanced for me
 
humanino said:
Another subject on which I would like to have people's opinion : would you advise student to avoid Greiner's series ? I should have I guess :-p

I have the series for years now on my bookshelf, and never got beyond the second volume, god is that boring ! The advantage of Greiner is that you calculate yourself to death :zzz:
So I can't judge for the other volumes (relativistic qm, qed, electroweak and qcd) which I have there, unopened. If they are in the same flavor they are boring, uninsightful, but on the other hand, they really help you through each calculation in meticulous detail. Maybe it is a good thing to browse through if you want to sharpen your calculational skills, after having learned the subject somewhere else.


cheers,
patrick.
 

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