Tensorial Methods and Renormalization in Group Field Theories (Springer Theses) - Hardcover

Carrozza, Sylvain

 
9783319058665: Tensorial Methods and Renormalization in Group Field Theories (Springer Theses)
Hardcover
ISBN 10: 3319058665 ISBN 13: 9783319058665
Verlag: Springer, 2014

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Sylvain Carrozza studied physics and mathematics at the École Normale Supérieure de Lyon. He then completed his doctoral studies in theoretical physics, with joint affiliation at the University of Paris-Sud and at the Max Planck Institute for Gravitational Physics. He is currently a postdoctoral researcher at the University of Aix-Marseille.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3319058665
ISBN 13 
9783319058665
Einband
Gebundene Ausgabe
Anzahl der Seiten
241
Kontakt zum Hersteller
Springer-Verlag GmbH
customerservice@springernature.com

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Heidelberg
Baden-Württemberg
69121
Deutschland

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