The Resource Towards the Mathematics of Quantum Field Theory, Frédéric Paugam
Towards the Mathematics of Quantum Field Theory, Frédéric Paugam
Resource Information
The item Towards the Mathematics of Quantum Field Theory, Frédéric Paugam represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Towards the Mathematics of Quantum Field Theory, Frédéric Paugam represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource.
 Contents

 Introduction
 Mathematical Preliminaries
 Classical Trajectories and Fields
 Quantum Trajectories and Fields
 Appendices
 Isbn
 9783319045641
 Label
 Towards the Mathematics of Quantum Field Theory
 Title
 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
 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 469480) 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
 10.1007/9783319045641
 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 469480) 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
 10.1007/9783319045641
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)871206788
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/TowardstheMathematicsofQuantumFieldTheory/Z6uJtG35LXI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/TowardstheMathematicsofQuantumFieldTheory/Z6uJtG35LXI/">Towards the Mathematics of Quantum Field Theory, Frédéric Paugam</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>