A book introducing Quamtum Field Theory from a group theory approach

[NewGuy]

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?

 

[Eynstone]

Try H. Weyl's 'Theory of groups & quantum mechanics'.

 

[Daverz]

Fields by Siegel.

 

[lsuorant]

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.

 

[rezeew]

As a scientist with a background in physics, I can recommend the book "Group Theory and Quantum Mechanics" by Michael Tinkham as an excellent resource for understanding Quantum Field Theory from a group theory perspective. This book provides a thorough introduction to group theory and its applications in quantum mechanics, including the concept of representations and irreducible representations. The mathematical rigor is well-balanced with clear explanations and examples that make it accessible for both physicists and mathematicians. Additionally, the structure of the book is similar to Robert Wald's "General Relativity" in its clarity and organization. I highly recommend this book for anyone looking to deepen their understanding of Quantum Field Theory.