A book introducing Quamtum Field Theory from a group theory approach

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SUMMARY

The discussion centers on finding a book that introduces Quantum Field Theory (QFT) from a group theory perspective, specifically for mathematical physicists. Recommended texts include H. Weyl's 'Theory of Groups & Quantum Mechanics', Siegel's 'Fields', and Chapters 2 and 3 of Maggiore's 'Modern Introduction to QFT'. Pierre Ramond's works are also suggested as valuable resources. The emphasis is on rigorous mathematical treatment without excessive technicalities.

PREREQUISITES
  • Understanding of group theory concepts, including groups and representations.
  • Familiarity with Quantum Field Theory fundamentals.
  • Basic knowledge of mathematical physics principles.
  • Experience with rigorous mathematical texts.
NEXT STEPS
  • Read H. Weyl's 'Theory of Groups & Quantum Mechanics' for foundational group theory in QFT.
  • Study Siegel's 'Fields' for a comprehensive overview of related topics.
  • Examine Chapters 2 and 3 of Maggiore's 'Modern Introduction to QFT' for a structured approach to QFT.
  • Explore Pierre Ramond's publications for advanced insights into QFT and group theory.
USEFUL FOR

This discussion is beneficial for mathematical physicists, graduate students in physics, and researchers interested in the intersection of group theory and Quantum Field Theory.

NewGuy
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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?
 
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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.
 

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