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Renormalization and Effective Field Theory - AMS Mathematics

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Description

Quantum field theory has a deep impact on mathematics and geometry, yet the difficulties of renormalization often make the subject inaccessible to many mathematicians. This book by the American Mathematical Society addresses this gap by providing complete mathematical foundations for perturbative quantum field theory. Based on the Batalin-Vilkovisky formalism and Wilson's ideas regarding low-energy effective field theory, the text offers a structured approach to complex theoretical concepts. It includes a cohomological proof of the perturbative renormalizability of Yang-Mills theory to serve as a practical example. This volume is designed to make these advanced physics concepts accessible to the mathematical community.

Key Features

Provides complete mathematical foundations for the theory of perturbative quantum field theory.

Utilizes Wilson's ideas of low-energy effective field theory to explain complex concepts.

Incorporates the Batalin-Vilkovisky formalism for a rigorous theoretical approach.

Includes a cohomological proof regarding the perturbative renormalizability of Yang-Mills theory.

Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 January 2011
Listed Since
07 May 2022

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