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

Carrozza, Sylvain

9783319358871: Tensorial Methods and Renormalization in Group Field Theories (Springer Theses)

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ISBN 10: 3319358871 ISBN 13: 9783319358871

Editorial: Springer, 2016

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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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Sylvain Carrozza studied physics and mathematics at the �cole Normale Sup�rieure 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.

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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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EditorialSpringer
A�o de publicaci�n2016
ISBN 10 3319358871
ISBN 13 9783319358871
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IdiomaIngl�s
N�mero de p�ginas244
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Tensorial Methods and Renormalization in Group Field Theories

Sylvain Carrozza

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Tensorial Methods and Renormalization in Group Field Theories

Sylvain Carrozza

Publicado por Springer International Publishing Sep 2016, 2016

ISBN 10: 3319358871 ISBN 13: 9783319358871

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Taschenbuch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 244 pp. Englisch. N� de ref. del art�culo: 9783319358871

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Tensorial Methods and Renormalization in Group Field Theories

Sylvain Carrozza

Publicado por Springer International Publishing, 2016

ISBN 10: 3319358871 ISBN 13: 9783319358871

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Taschenbuch. Condici�n: Neu. 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. N� de ref. del art�culo: 9783319358871

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

Carrozza, Sylvain

Publicado por Springer, 2016

ISBN 10: 3319358871 ISBN 13: 9783319358871

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Tensorial Methods and Renormalization in Group Field Theories

Carrozza, Sylvain

Publicado por Springer 2016-09, 2016

ISBN 10: 3319358871 ISBN 13: 9783319358871

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Tensorial Methods and Renormalization in Group Field Theories

Sylvain Carrozza

Publicado por Springer International Publishing, Springer International Publishing Sep 2016, 2016

ISBN 10: 3319358871 ISBN 13: 9783319358871

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Taschenbuch. Condici�n: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 244 pp. Englisch. N� de ref. del art�culo: 9783319358871

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