Convolution calculus on white noise spaces and Feynman graph representation of generalized renormalization flows

2006/06/01 by H. Gottschalk, Gottschalk, H., H. Ouerdiane +3
Mathematics · Physics and Astronomy · #60H40 #82B28 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:60H40 #msc:82B28

paper · pdf · doi:10.48550/arxiv.math-ph/0606004

8 pages 1 figure

arxiv created 2006/06/01 · arxiv updated 2009/12/01

Abstract

In this note we outline some novel connections between the following fields: 1) Convolution calculus on white noise spaces 2) Pseudo-differential operators and Lévy processes on infinite dimensional spaces 3) Feynman graph representations of convolution semigroups 4) generalized renormalization group flows and 5) the thermodynamic limit of particle systems.

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