Astérisque N° 412/2019
Renormalization in Quantum Field Theory (After R. Borcherds)
Par : Formats :
- Paiement en ligne :
- Livraison à domicile ou en point Mondial Relay indisponible
- Retrait Click and Collect en magasin gratuit
- Réservation en ligne avec paiement en magasin :
- Indisponible pour réserver et payer en magasin
- Nombre de pages185
- PrésentationBroché
- FormatGrand Format
- Poids0.4 kg
- Dimensions17,5 cm × 24,0 cm × 1,2 cm
- ISBN978-2-85629-910-4
- EAN9782856299104
- Date de parution01/07/2019
- ÉditeurSociété Mathématique de France
Résumé
The aim of this manuscript is to provide a complete and precise formulation of the renormalization picture for per-turbative Quantum Field Theory (pQFT) on general curved spacetimes introduced by Borcherds in [R. E. BORCHERDS, "Renormalization and quantum field theory," Algebra Number Theory 5 (2011) 627-658]. More precisely, we give a full proof of the free and transitive action of the group of renor-malizations on the set of Feynman measures associated with a local precut propagator, and that such a set is nonempty if the propagator is further assumed to be manageable and of cut type.
Even though we follow the general principles laid by Borcherds in loc. cit., we have in many cases proceeded differently to prove his claims, and we have also needed to add some hypotheses to be able to prove the corresponding statements.
Even though we follow the general principles laid by Borcherds in loc. cit., we have in many cases proceeded differently to prove his claims, and we have also needed to add some hypotheses to be able to prove the corresponding statements.
The aim of this manuscript is to provide a complete and precise formulation of the renormalization picture for per-turbative Quantum Field Theory (pQFT) on general curved spacetimes introduced by Borcherds in [R. E. BORCHERDS, "Renormalization and quantum field theory," Algebra Number Theory 5 (2011) 627-658]. More precisely, we give a full proof of the free and transitive action of the group of renor-malizations on the set of Feynman measures associated with a local precut propagator, and that such a set is nonempty if the propagator is further assumed to be manageable and of cut type.
Even though we follow the general principles laid by Borcherds in loc. cit., we have in many cases proceeded differently to prove his claims, and we have also needed to add some hypotheses to be able to prove the corresponding statements.
Even though we follow the general principles laid by Borcherds in loc. cit., we have in many cases proceeded differently to prove his claims, and we have also needed to add some hypotheses to be able to prove the corresponding statements.