Feynman graphs for non-Gaussian measures
数学物理
2007-05-23 v3 math.MP
摘要
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-It\^o \~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").
引用
@article{arxiv.math-ph/0501030,
title = {Feynman graphs for non-Gaussian measures},
author = {S. H. Djah and H. Gottschalk and H. Ouerdiane},
journal= {arXiv preprint arXiv:math-ph/0501030},
year = {2007}
}
备注
14 pages, 6 figures, further typos fixed, more details added on graph theoretic notions using the theory of species