Noncommutative version of Borcherds' ...
Type de document :
Communication dans un congrès avec actes
Titre :
Noncommutative version of Borcherds' approach to quantum field theory
Auteur(s) :
Brouder, Christian [Auteur correspondant]
Institut de minéralogie, de physique des matériaux et de cosmochimie [IMPMC]
Dang, Nguyen Viet [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Frabetti, Alessandra [Auteur]
Probabilités, statistique, physique mathématique [PSPM]
Institut de minéralogie, de physique des matériaux et de cosmochimie [IMPMC]
Dang, Nguyen Viet [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Frabetti, Alessandra [Auteur]
Probabilités, statistique, physique mathématique [PSPM]
Titre de la manifestation scientifique :
Frontiers of Fundamental Physics 14
Ville :
Marseille
Pays :
France
Date de début de la manifestation scientifique :
2014-07-15
Mot(s)-clé(s) en anglais :
quantization
Hopf algebra
quantum field theory
Hopf algebra
quantum field theory
Discipline(s) HAL :
Physique [physics]/Physique mathématique [math-ph]
Résumé en anglais : [en]
Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bundle over a smooth manifold. However, this ...
Lire la suite >Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bundle over a smooth manifold. However, this framework looses its geometric meaning when Borcherds introduces a (graded) commutative normal product. We present a fully geometric version of Borcherds' quantization where the (external) tensor product plays the role of the normal product. We construct a noncommutative many-body Hopf algebra and a module over it which contains all the terms of the perturbative expansion and we quantize it to recover the expectation values of standard quantum field theory when the Hopf algebra fiber is (graded) cocommutative. This construction enables to the second quantize any theory described by a cocommutative Hopf algebra bundle.Lire moins >
Lire la suite >Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bundle over a smooth manifold. However, this framework looses its geometric meaning when Borcherds introduces a (graded) commutative normal product. We present a fully geometric version of Borcherds' quantization where the (external) tensor product plays the role of the normal product. We construct a noncommutative many-body Hopf algebra and a module over it which contains all the terms of the perturbative expansion and we quantize it to recover the expectation values of standard quantum field theory when the Hopf algebra fiber is (graded) cocommutative. This construction enables to the second quantize any theory described by a cocommutative Hopf algebra bundle.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
Fichiers
- document
- Accès libre
- Accéder au document
- ffpbib.pdf
- Accès libre
- Accéder au document
- 1502.00147
- Accès libre
- Accéder au document