Noncommutative Geometry, gauge theory and renormalization: General introduction and Renormalization of noncommutative Quantum Field Theory - Couverture souple

De Goursac, Axel

 
9783639270419: Noncommutative Geometry, gauge theory and renormalization: General introduction and Renormalization of noncommutative Quantum Field Theory
Couverture souple
ISBN 10 : 363927041X ISBN 13 : 9783639270419
Editeur : VDM Verlag Dr. Müller, 2010

Synopsis

Nowadays, noncommutative geometry is a growing domain of Mathematics, which can also appear as a promising framework for modern Physics. Quantum field theories on "noncommutative spaces" are indeed thoroughly investigated and possess new interesting features. This book provides a pedagogical introduction to basic concepts of noncommutative geometry and deformation quantization, renormalization of quantum field theory: wilsonian and BPHZ approaches for scalar theory as well as algebraic approach for gauge theory. It allows the reader to understand several general problematics of noncommutative quantum field theory. As based on the PhD thesis of the author, this book gives an overview of the renormalization question for quantum field theories on the Euclidean Moyal space, and focuses particularly on the recent Grosse-Wulkenhaar model , its associated gauge theory, and their mathematical interpretation. This work is aimed at both postgraduate students and researchers who want to comprehend this lively research field at the frontier of Physics and Mathematics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Nowadays, noncommutative geometry is a growing domain of Mathematics, which can also appear as a promising framework for modern Physics. Quantum field theories on "noncommutative spaces" are indeed thoroughly investigated and possess new interesting features. This book provides a pedagogical introduction to basic concepts of noncommutative geometry and deformation quantization, renormalization of quantum field theory: wilsonian and BPHZ approaches for scalar theory as well as algebraic approach for gauge theory. It allows the reader to understand several general problematics of noncommutative quantum field theory. As based on the PhD thesis of the author, this book gives an overview of the renormalization question for quantum field theories on the Euclidean Moyal space, and focuses particularly on the recent Grosse-Wulkenhaar model , its associated gauge theory, and their mathematical interpretation. This work is aimed at both postgraduate students and researchers who want to comprehend this lively research field at the frontier of Physics and Mathematics.

Biographie de l'auteur

Studies at the Ecole Polytechnique (France). PhD in Physics at the University of Paris XI (France) and in Mathematics at the University of Münster (Germany). Postdoctorant at the Catholic University of Louvain (Belgium).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2010
Langue
anglais
ISBN 10 
363927041X
ISBN 13 
9783639270419
Reliure
Broché
Nombre de pages
216
Coordonnées du fabricant
non disponible
Personne responsable
non disponible