Tensorial Methods and Renormalization in Group Field Theories

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- an...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Carrozza, Sylvain (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Springer Theses, Recognizing Outstanding Ph.D. Research,
Temas:
Elementary particles (Physics).
Quantum field theory.
Gravitation.
Group theory.
Cosmology.
Mathematical physics.
Elementary Particles, Quantum Field Theory.
Classical and Quantum Gravity.
Group Theory and Generalizations.
Mathematical Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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