Feynman graphs for non-Gaussian measures

Details Feynman graphs for non-Gaussian measures Feynman graphs for non-Gaussian measures

2005-01-12

arxiv.org/abs/math-ph/0501030v3

Physics

Mathematical Physics

14 pages, 6 figures, further typos fixed, more details added on graph theoretic notions using the theory of species

Scientific paper

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").

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