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Tensorial Methods and Renormalization in Group Field Theories

Carrozza, Sylvain

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Título:
Tensorial Methods and Renormalization in Group Field Theories
Autor: Carrozza, Sylvain
Assuntos: Calculus of tensors ; Classical and Quantum Gravitation, Relativity Theory ; Cosmology ; Elementary Particles, Quantum Field Theory ; Group Theory and Generalizations ; Mathematical Physics ; Physics ; Physics and Astronomy ; Quantum field theory ; Quantum gravity ; Renormalization (Physics) ; Renormalization group
Descrição: 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.
Títulos relacionados: Springer Theses
Editor: Cham: Springer International Publishing AG
Data de criação/publicação: 2014
Formato: 236
Idioma: Inglês

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