Books on Renormalization (Group) Theory

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SUMMARY

The discussion centers on recommendations for books on renormalization theory, specifically alternatives to Peskin and Schroeder's work. Participants suggest 'Renormalization Methods - A Guide for Beginners' by W.D. McComb, which is praised for its accessibility and application to various fields, including fluid dynamics. Additionally, J.C. Collins' book, published by Cambridge University Press in 1986, is mentioned as a solid resource for particle theorists. The conversation highlights the need for beginner-friendly materials that simplify complex concepts in renormalization.

PREREQUISITES
  • Understanding of basic quantum field theory concepts
  • Familiarity with statistical mechanics and fluid dynamics
  • Knowledge of divergences in quantum mechanics, including infrared (IR) and ultraviolet (UV) divergences
  • Basic mathematical skills for theoretical physics
NEXT STEPS
  • Research 'Renormalization Methods - A Guide for Beginners' by W.D. McComb
  • Explore J.C. Collins' 'Renormalization' for advanced insights
  • Study models for magnets in the context of renormalization
  • Investigate the applications of renormalization in fluid dynamics
USEFUL FOR

Students and researchers in theoretical physics, particularly those interested in quantum field theory and renormalization methods, as well as educators seeking accessible resources for teaching these concepts.

silverwhale
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Hello Everybody,

I am searching for a book that introduces the theory of renormalization other then Peskin Schroeder, I found Peskin Schroeder cumbersome regarding this topic.

Can anyone help?

Thanks in advance!
 
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I recently bought 'renormalization methods - a guide for beginners' by W.D. McComb, mainly because it also uses RNG on topics other than quantum mechanics (e.g. fluid dynamics).

It starts with this in the preface:
"... the questions that I am most frequently asked are:
'Is there an easy account on the subject?' and
'is there some application to a simple toy model which I could study?'
<...>
The aim of the present book, therefore, is to make the basic ideas of the subject available to a wider audience.
<...>
the first section, which comprises chapters 1-3, is intended to be complete in itself..."

I'm not into quantum mechanics, so for me I think it was a good choice. Still, there are many topics in the book that I know nothing about, like models for magnets and ir and uv divergences, but the first section tries to treat it (edit:renormalization) in a general manner.
 
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Sounds interesting, I'll check the book!
 
How about

J. C. Collins. Renormalization. Cambridge University Press, Cambridge, New York, Melbourne, 1986.
 
Mandl and Shaw is very good as an introduction to Renormalization theory for particle theorists. I checked McCombs books, it didn't help me much as it is too general, but may be helpful for later usage. I'll check Collins in the coming days.
 

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