Books on Renormalization (Group) Theory

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Discussion Overview

The discussion centers around recommendations for books on renormalization theory, with a focus on finding alternatives to the well-known text by Peskin and Schroeder. Participants express their preferences and experiences with various texts, exploring the accessibility and applicability of the material presented in these books.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks alternatives to Peskin and Schroeder, finding it cumbersome for their needs.
  • Another participant recommends 'Renormalization Methods - A Guide for Beginners' by W.D. McComb, noting its broader applications beyond quantum mechanics and its aim to make the subject accessible.
  • A participant mentions that while McComb's book is a good choice for those not focused on quantum mechanics, it contains topics they are unfamiliar with, such as models for magnets and divergences.
  • Another participant suggests the book 'Renormalization' by J. C. Collins as a potential resource.
  • A different participant finds Mandl and Shaw to be a good introductory text for particle theorists, but expresses that McComb's book was too general for their immediate needs.

Areas of Agreement / Disagreement

Participants express varying opinions on the suitability of different books, indicating that there is no consensus on a single best resource. Some find certain texts more accessible or relevant than others, reflecting differing backgrounds and focuses within the topic of renormalization theory.

Contextual Notes

Participants highlight limitations in their understanding of certain topics covered in the recommended books, suggesting that the effectiveness of these resources may depend on individual backgrounds and specific interests within renormalization theory.

Who May Find This Useful

This discussion may be useful for students or researchers looking for introductory materials on renormalization theory, particularly those seeking alternatives to established texts or those interested in broader applications of the theory.

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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