Towards the Mathematics of Quantum Field Theory
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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.
The Resource
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
 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 coordinatefree 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 nonlinear 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
 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
Context
Context of Towards the Mathematics of Quantum Field TheoryWork of
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