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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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Carrozza, Sylvain (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Springer, 2014.
Édition:1st ed. 2014.
Collection:Springer Theses, Recognizing Outstanding Ph.D. Research,
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • 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.