Renormalized Higher Powers of White Noise (RHPWN) and Conformal Field Theory
| dc.creator | Accardi, Luigi | |
| dc.creator | Boukas, Andreas | |
| dc.date | 2006-08-20 | |
| dc.date | 2006-09-05 | |
| dc.date.accessioned | 2026-07-07T07:20:38Z | |
| dc.date.available | 2026-07-07T07:20:38Z | |
| dc.description | The Virasoro--Zamolodchikov Lie algebra $w_{\infty}$ has been widely studied in string theory and in conformal field theory, motivated by the attempts of developing a satisfactory theory of quantization of gravity. The renormalized higher powers of quantum white noise (RHPWN) *-Lie algebra has been recently investigated in quantum probability, motivated by the attempts to develop a nonlinear generalization of stochastic and white noise analysis. We prove that, after introducing a new renormalization technique, the RHPWN Lie algebra includes a second quantization of the $w_{\infty}$ algebra. Arguments discussed at the end of this note suggest the conjecture that this inclusion is in fact an identification | |
| dc.description | Replaced title and abstract and corrected typos; To appear in Infinite Dimensional Analysis, Quantum Probability, and Related Topics (2006) | |
| dc.identifier | https://arxiv.org/abs/math-ph/0608047 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0608047 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115019 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60H40, 81T40 | |
| dc.title | Renormalized Higher Powers of White Noise (RHPWN) and Conformal Field Theory | |
| dc.type | text |