Tensorial Methods and Renormalization in Group Field Theories

Language: English

Published by Springer, 2016

3319358871 / 9783319358871

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

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Title
Tensorial Methods and Renormalization in Group Field Theories
Author
Sylvain Carrozza
Publisher
Springer
Publication year
2016
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319358871
ISBN 13
9783319358871
Item weight
376 grams
Dimensions
235x155x14 mm

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