The Resource The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by Andrei-Tudor Patrascu, (electronic resource)

The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by Andrei-Tudor Patrascu, (electronic resource)

Label
The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker
Title
The Universal Coefficient Theorem and Quantum Field Theory
Title remainder
A Topological Guide for the Duality Seeker
Statement of responsibility
by Andrei-Tudor Patrascu
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics
Member of
http://library.link/vocab/creatorName
Patrascu, Andrei-Tudor
Image bit depth
0
LC call number
QC174.45-174.52
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
http://library.link/vocab/subjectName
  • Physics
  • Mathematical physics
  • Algebraic topology
  • Quantum field theory
  • String theory
  • Elementary particles (Physics)
  • Physics
  • Quantum Field Theories, String Theory
  • Algebraic Topology
  • Mathematical Applications in the Physical Sciences
  • Elementary Particles, Quantum Field Theory
Label
The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by Andrei-Tudor Patrascu, (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 -- Elements of General Topology -- Algebraic Topology -- Homological Algebra -- Connections: Topology and Analysis -- The Atyiah Singer Index Theorem -- Universal Coefficient Theorems -- BV and BRST Quantization, Quantum Observables and Symmetry -- Universal Coefficient Theorem and Quantum Field Theory -- The Universal Coefficient Theorem and Black Holes -- From Grothendieck’s Schemes to QCD -- Conclusions.
Dimensions
unknown
Extent
XVI, 270 p. 6 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319461434
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-46143-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-46143-4
Label
The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by Andrei-Tudor Patrascu, (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 -- Elements of General Topology -- Algebraic Topology -- Homological Algebra -- Connections: Topology and Analysis -- The Atyiah Singer Index Theorem -- Universal Coefficient Theorems -- BV and BRST Quantization, Quantum Observables and Symmetry -- Universal Coefficient Theorem and Quantum Field Theory -- The Universal Coefficient Theorem and Black Holes -- From Grothendieck’s Schemes to QCD -- Conclusions.
Dimensions
unknown
Extent
XVI, 270 p. 6 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319461434
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-46143-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-46143-4

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