Quantum probability, renormalization and infinite-dimensional *-Lie algebras. (English) Zbl 1193.60090
The present work, which is the continuation of a long series of articles by the same authors on the same topic, surveys some similarities and relations between quantum probability, renormalization, infinite-dimensional *-Lie algebras, and to some extent, white noise calculus and stochastic calculus.
Reviewer: Guy Jumarie (Montréal)
MSC:
| 60H40 | White noise theory |
| 60G51 | Processes with independent increments; Lévy processes |
| 81S05 | Commutation relations and statistics as related to quantum mechanics (general) |
| 81S20 | Stochastic quantization |
| 81S25 | Quantum stochastic calculus |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
