The Resource Perturbative Algebraic Quantum Field Theory : An Introduction for Mathematicians, by Kasia Rejzner, (electronic resource)

Perturbative Algebraic Quantum Field Theory : An Introduction for Mathematicians, by Kasia Rejzner, (electronic resource)

Label
Perturbative Algebraic Quantum Field Theory : An Introduction for Mathematicians
Title
Perturbative Algebraic Quantum Field Theory
Title remainder
An Introduction for Mathematicians
Statement of responsibility
by Kasia Rejzner
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities. We discuss in detail the examples of scalar fields and gauge theories and generalize them to QFT on curved spacetimes. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all of these conceptual problems. Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses QFT on curved spacetimes and effective quantum gravity. The book aims to be accessible researchers and graduate students interested in the mathematical foundations of pQFT are the intended audience
Member of
http://library.link/vocab/creatorName
Rejzner, Kasia
Image bit depth
0
LC call number
QC174.45-174.52
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Mathematical Physics Studies,
http://library.link/vocab/subjectName
  • Physics
  • Algebra
  • Field theory (Physics)
  • Mathematical physics
  • Quantum field theory
  • String theory
  • Physics
  • Quantum Field Theories, String Theory
  • Mathematical Physics
  • Field Theory and Polynomials
Label
Perturbative Algebraic Quantum Field Theory : An Introduction for Mathematicians, by Kasia Rejzner, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Algebraic approach to quantum theory -- Algebraic quantum mechanics -- Causality -- Haag-Kastler axioms -- pAQFT axioms -- LCQFT -- Kinematical structure -- The space of field configurations -- Functionals on the configuration space -- Fermionic field configurations -- Vector fields -- Functorial interpretation -- Classical theory -- Dynamics -- Natural Lagrangians -- Homological characterization of the solution space -- The net of topological Poisson algabras -- Analogy with classical mechanics -- Deformation quantization -- Star products -- The star product on the space of multivector fields -- Kähler structure -- Interaction -- Outline of the approach -- Scatering matrix and time ordered products -- Renormalization group -- Interacting local nets -- Explicit construction -- Gauge theories -- Classical gauge theory -- Gauge-fixing -- BV formalism -- Effective quantum gravity -- From LCQFT to quantum gravity -- Dynamics and symmetries -- Linearized theory -- Quantization -- Relational observables -- Background independence
Dimensions
unknown
Edition
1st ed. 2016.
Extent
XI, 180 p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319259017
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-25901-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-25901-7
Label
Perturbative Algebraic Quantum Field Theory : An Introduction for Mathematicians, by Kasia Rejzner, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Algebraic approach to quantum theory -- Algebraic quantum mechanics -- Causality -- Haag-Kastler axioms -- pAQFT axioms -- LCQFT -- Kinematical structure -- The space of field configurations -- Functionals on the configuration space -- Fermionic field configurations -- Vector fields -- Functorial interpretation -- Classical theory -- Dynamics -- Natural Lagrangians -- Homological characterization of the solution space -- The net of topological Poisson algabras -- Analogy with classical mechanics -- Deformation quantization -- Star products -- The star product on the space of multivector fields -- Kähler structure -- Interaction -- Outline of the approach -- Scatering matrix and time ordered products -- Renormalization group -- Interacting local nets -- Explicit construction -- Gauge theories -- Classical gauge theory -- Gauge-fixing -- BV formalism -- Effective quantum gravity -- From LCQFT to quantum gravity -- Dynamics and symmetries -- Linearized theory -- Quantization -- Relational observables -- Background independence
Dimensions
unknown
Edition
1st ed. 2016.
Extent
XI, 180 p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319259017
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-25901-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-25901-7

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