A book introducing Quamtum Field Theory from a group theory approach

Click For Summary

Discussion Overview

The discussion centers on finding a book that introduces Quantum Field Theory (QFT) from a group theory perspective, aimed at mathematical physicists while maintaining a focus on the physics involved. Participants express preferences for the structure and rigor of the material, comparing it to Robert Wald's book on General Relativity.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks a book that defines groups, representations, and irreducible representations, emphasizing a balance between rigorous mathematics and accessibility.
  • Another participant suggests H. Weyl's 'Theory of groups & quantum mechanics' as a potential resource.
  • A different suggestion is made for 'Fields' by Siegel, noted for its coverage of various topics.
  • One participant recommends starting with Chapters 2 and 3 of Maggiore's 'Modern Intro to QFT', highlighting its modern approach and proven effectiveness, while also mentioning Pierre Ramond's books as additional resources.

Areas of Agreement / Disagreement

Participants provide various book recommendations without reaching a consensus on a single preferred text. Multiple competing views on suitable resources remain present.

Contextual Notes

Some suggestions may depend on the reader's background knowledge and familiarity with the subject matter, as indicated by the reference to historical figures like Eugene Wigner and John von Neumann.

Who May Find This Useful

Mathematical physicists and students interested in Quantum Field Theory and group theory approaches may find this discussion relevant.

NewGuy
Messages
9
Reaction score
0
I'm looking for a book that describes Quantum Field Theory from a group theory approach for mathematical physicists (with emphasis on the physics part). Ideally I want it to first describe and define groups, representations and irreducible representations. The more rigorous the math, the better (but it shouldn't drown in technicalities of course). If you have ever read Robert Wald's book on General Relativity, it should ideally have the same kind of structure (I love that book!).

Anybody know a book like this?
 
Physics news on Phys.org
Try H. Weyl's 'Theory of groups & quantum mechanics'.
 
Siegel indeed covers many topics. But you might want to start with Chapters 2 and 3 of Maggiore's Modern Intro to QFT (unless you are a resurrection of Eugene Wigner or John von Neumann, in which case you probably won't need a textbook). It's thin, modern and proven itself over and over again. Also have a look at Pierre Ramond's books.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • Sticky
  • · Replies 33 ·
2
Replies
33
Views
12K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K