Non-Gaussian generalizations of Wick's theorems, related to the Schwinger-Dyson equation
| dc.creator | de Mirleau, Olivier | |
| dc.date | 1995-07-06 | |
| dc.date.accessioned | 2026-07-07T06:28:26Z | |
| dc.date.available | 2026-07-07T06:28:26Z | |
| dc.description | In this work we present a number of generalizations of Wick's theorems on integrals with Gaussian weight to a larger class of weights which we call subgaussian. Examples of subgaussian contractions are that of Kac-Moody or Virasoro type, although the concept of a subgaussian weight does not refer a priori to two-dimensional field theory. The generalization was chosen in such a way that the contraction rules become a combinatorical way of solving the Schwinger-Dyson equation. In a still more general setting we prove a relation between solutions of the Schwinger-Dyson equation and a map $N$, which in the Gaussian case reduces to normal ordering. Furthermore, we give a number of results concerning contractions of composite insertions, which do not suffer from the Johnson-Low problem of ``commutation'' relations that do not satisfy the Jacobi identity. | |
| dc.description | 61 pages amslatex. Uses amssym and amssym.def | |
| dc.identifier | https://arxiv.org/abs/hep-th/9507039 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9507039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97700 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Non-Gaussian generalizations of Wick's theorems, related to the Schwinger-Dyson equation | |
| dc.type | text |