Some convolution products in Quantum Field Theory
| dc.creator | Ratsimbarison, Herintsitohaina | |
| dc.date | 2006-12-05 | |
| dc.date.accessioned | 2026-07-07T07:34:31Z | |
| dc.date.available | 2026-07-07T07:34:31Z | |
| dc.description | This paper aims to show constructions of scale dependence and interaction on some probabilistic models which may be revelant for renormalization theory in Quantum Field Theory. We begin with a review of the convolution product's use in the Kreimer-Connes formalism of perturbative renormalization. We show that the Wilson effective action can be obtained from a convolution product propriety of regularized Gaussian measures on the space of fields. Then, we propose a natural C*-algebraic framework for scale dependent field theories which may enhance the conceptual approach to renormalization theory. In the same spirit, we introduce a probabilistic construction of interacting theories for simple models and apply it for quantum field theory by defining a partition function in this setting. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0612016 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0612016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119792 | |
| dc.subject | Mathematical Physics | |
| dc.title | Some convolution products in Quantum Field Theory | |
| dc.type | text |