Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion (Cambridge Monographs on Mathematical Physics) by John C. Collins (PDF)

Description

Most of the numerical predictions of experimental phenomena in particle physics over the last decade have been made possible by the discovery and exploitation of the simplifications that can happen when phenomena are investigated on short distance and time scales. This book provides a coherent exposition of the techniques underlying these calculations. After reminding the reader of some basic properties of field theories, examples are used to explain the problems to be treated. Then the technique of dimensional regularization and the renormalization group. Finally a number of key applications are treated, culminating in the treatment of deeply inelastic scattering.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I liked the price and the fact that the book is new as was claimed.

⭐It really shed light on some concepts that other books simply do not discuss. It is also the only one I know that gives a theoretical basis for understanding dimensional regularization.

⭐Couldn’t understand any of this, but the person who requested it for Christmas was delighted. arrived promptly, thank you.

⭐I can confidently say that I understood renormalization in quantum field theory (the counter terms business) only after reading this book. Before this I read a lot of standard books like Schwartz, Peskin, Srednicki or Zee but never got the complete systematics of renormalization. This book covers a lot of proves including the famous BPHZ theorem and graph theoretic formalism to prove it which in other books is only quoted in two lines and is applied directly in problems. There are excellent chapter on dimensional regularization, renormalization and renormalization group which cannot be more elaborate. After that there are interesting topics like large mass expansion which is extremely important in the subject of effective field theories but is often ommited or assumed as prerequisite in almost all standard books on EFT’s. After reading and learning through this book you will find yourself doing renormalization calculations in QFT like a pro. The book can be sometimes tough to make way through but it’s absolutely rewarding. You can imagine the depth of this book by getting the fact that all the chapters in this book is finished in just one or two chapters in other standard texts.

⭐Probabilmente è il libro più completo sulla Rinormalizzazione. L’unica pecca: il formalismo è talmente pesante e alcuni passaggi talmente ermetici da rendere conolicata la lettura. Sicuramente non è banale rendere semplice e alla portata di tutti la Rinormalizzazione, tuttavia ritengo che si possa fare di meglio.

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