Tensorial Methods and Renormalization in Group Field Theories
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Tensorial Methods and Renormalization in Group Field Theories
Carrozza, Sylvain
Springer International Publishing AG
09/2016
226
Mole
Inglês
9783319358871
15 a 20 dias
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.
Motivations and Scope of the Present Work.- Two Paths to Group Field Theories.- Colors and Tensor Invariance.- Large N Expansion in Topological Group Field Theories.- Renormalization of Tensorial Group Field Theories: Generalities.- Super-Renormalizable U(1) Models in Four Dimensions.- Just-Renormalizable SU(2) Model in Three Dimensions.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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.
Motivations and Scope of the Present Work.- Two Paths to Group Field Theories.- Colors and Tensor Invariance.- Large N Expansion in Topological Group Field Theories.- Renormalization of Tensorial Group Field Theories: Generalities.- Super-Renormalizable U(1) Models in Four Dimensions.- Just-Renormalizable SU(2) Model in Three Dimensions.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
