Feynman graphs for non-Gaussian measures
| dc.creator | Djah, S. H. | |
| dc.creator | Gottschalk, H. | |
| dc.creator | Ouerdiane, H. | |
| dc.date | 2005-01-12 | |
| dc.date | 2006-11-30 | |
| dc.date.accessioned | 2026-07-07T06:38:34Z | |
| dc.date.available | 2026-07-07T06:38:34Z | |
| dc.description | Partition- and moment functions for a general (not necessarily Gaussian) functional measure that is perturbed by a Gibbs factor are calculated using generalized Feynman graphs. From the graphical calculus, a new notion of Wick ordering arises, that coincides with orthogonal decompositions of Wiener-Itô type only if the measure is Gaussian. Proving a generalized linked cluster theorem, we show that the logarithm of the partition function can be expanded in terms of connected Feynman graphs ("linked cluster theorem"). | |
| dc.description | 14 pages, 6 figures, further typos fixed, more details added on graph theoretic notions using the theory of species | |
| dc.identifier | https://arxiv.org/abs/math-ph/0501030 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0501030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100783 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81T18, 82B28 | |
| dc.title | Feynman graphs for non-Gaussian measures | |
| dc.type | text |