Towards the Mathematics of Quantum Field Theory

Resource Information

The work Towards the Mathematics of Quantum Field Theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Towards the Mathematics of Quantum Field Theory

Statement of responsibility

Frédéric Paugam

Creator

• Paugam, Frédéric, 1976-

Author

• Paugam, Frédéric, 1976-

Subject

• Quantum field theory
• Quantum field theory
• Quantum field theory
• SCIENCE -- Energy
• SCIENCE -- Mechanics | General
• SCIENCE -- Physics | General
• Mathematische Physik
• Quantenfeldtheorie

Language

eng

Summary

The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primary target. This reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to general gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particular graduate students) who would like to learn about the mathematics of quantum field theory

Member of

• Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, 59

Cataloging source

N$T

Dewey number

530.143

Index

index present

LC call number

QC174.17.M35

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Ergebnisse der Mathematik und ihrer Grenzgebiete : 3. Folge

Series volume

59