Tensorial Methods and Renormalization in Group Field Theories /

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- an...

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Bibliographic Details
Author / Creator:Carrozza, Sylvain, author.
Imprint:Cham : Springer International Publishing : Imprint : Springer, 2014.
Description:1 online resource (XV, 226 pages 51 illustrations) : online resource.
Language:English
Series:Springer Theses, Recognizing Outstanding Ph. D. Research, 2190-5053
Springer Theses, Recognizing Outstanding Ph. D. Research,
Subject:Physics.
Group theory.
Quantum theory.
Elementary Particles, Quantum Field Theory.
Classical and Quantum Gravitation, Relativity Theory.
Group Theory and Generalizations.
Cosmology.
Mathematical Physics.
Physique.
Astronomie.
Group theory.
Physics.
Quantum theory.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11094907
Hidden Bibliographic Details
ISBN:9783319058672
3319058673
1306702453
9781306702454
3319058665
9783319058665
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
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.
Other form:Printed edition: 9783319058665
Standard no.:10.1007/978-3-319-05867-2