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The Resource Towards the Mathematics of Quantum Field Theory, Frédéric Paugam

Towards the Mathematics of Quantum Field Theory, Frédéric Paugam

Creator
Author
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
Language
eng
Work
Publication
Extent
1 online resource.
Contents
  • Introduction
  • Mathematical Preliminaries
  • Classical Trajectories and Fields
  • Quantum Trajectories and Fields
  • Appendices
Isbn
9783319045641
Instance
Label
Towards the Mathematics of Quantum Field Theory
Title
Towards the Mathematics of Quantum Field Theory
Statement of responsibility
Frédéric Paugam
Creator
Author
Subject
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
Cataloging source
N$T
http://library.link/vocab/creatorDate
1976-
http://library.link/vocab/creatorName
Paugam, Frédéric
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
http://library.link/vocab/subjectName
  • Quantum field theory
  • SCIENCE
  • SCIENCE
  • SCIENCE
  • Quantum field theory
  • Quantenfeldtheorie
  • Mathematische Physik
Label
Towards the Mathematics of Quantum Field Theory, Frédéric Paugam
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 469-480) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Mathematical Preliminaries -- Classical Trajectories and Fields -- Quantum Trajectories and Fields -- Appendices
Control code
871206788
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319045641
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-04564-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)871206788
Label
Towards the Mathematics of Quantum Field Theory, Frédéric Paugam
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 469-480) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Mathematical Preliminaries -- Classical Trajectories and Fields -- Quantum Trajectories and Fields -- Appendices
Control code
871206788
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319045641
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-04564-1
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)871206788

Subject

Member of

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