The Resource Tensorial Methods and Renormalization in Group Field Theories, by Sylvain Carrozza

Tensorial Methods and Renormalization in Group Field Theories, by Sylvain Carrozza

Label
Tensorial Methods and Renormalization in Group Field Theories
Title
Tensorial Methods and Renormalization in Group Field Theories
Statement of responsibility
by Sylvain Carrozza
Creator
Author
Subject
Genre
Language
eng
Summary
The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and, on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on to explain how the standard tools of Quantum Field Theory can be generalized to GFTs, and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in this context are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity
Member of
Cataloging source
NUI
http://library.link/vocab/creatorName
Carrozza, Sylvain
Dewey number
539.72
Illustrations
illustrations
Image bit depth
0
Index
no index present
LC call number
  • QC793-793.5
  • QC174.45-174.52
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer Theses, Recognizing Outstanding Ph. D. Research,
http://library.link/vocab/subjectName
  • Physics
  • Group theory
  • Quantum theory
  • SCIENCE
  • Physique
  • Astronomie
  • Group theory
  • Physics
  • Quantum theory
Label
Tensorial Methods and Renormalization in Group Field Theories, by Sylvain Carrozza
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-05867-2
Instantiates
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references
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
Motivations and Scope of the Present Work -- Two Paths to Group Field Theories -- Colors and Tensor Invariance -- Large N Expansion in Topological Group Field Theories -- Renormalization of Tensorial Group Field Theories: Generalities -- Super-Renormalizable U(1) Models in Four Dimensions -- Just-Renormalizable SU(2) Model in Three Dimensions
Dimensions
unknown
Extent
1 online resource (XV, 226 pages 51 illustrations)
File format
multiple file formats
Form of item
online
Isbn
9783319058672
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-05867-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
Stock number
601496
System control number
  • (OCoLC)912397870
  • (OCoLC)ocn912397870
Label
Tensorial Methods and Renormalization in Group Field Theories, by Sylvain Carrozza
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-05867-2
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references
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
Motivations and Scope of the Present Work -- Two Paths to Group Field Theories -- Colors and Tensor Invariance -- Large N Expansion in Topological Group Field Theories -- Renormalization of Tensorial Group Field Theories: Generalities -- Super-Renormalizable U(1) Models in Four Dimensions -- Just-Renormalizable SU(2) Model in Three Dimensions
Dimensions
unknown
Extent
1 online resource (XV, 226 pages 51 illustrations)
File format
multiple file formats
Form of item
online
Isbn
9783319058672
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-05867-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
Stock number
601496
System control number
  • (OCoLC)912397870
  • (OCoLC)ocn912397870

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