Covariant SPDEs and Quantum Field Structures
funct-an
2008-02-03 v1 Mathematical Physics
Functional Analysis
math.MP
Probability
Abstract
Covariant stochastic partial differential equations are studied in any dimension. A special class of such equations is selected and it is proven that the solutions can be analytically continued to Minkowski space-time yielding tempered Wightman distributions which are covariant, obey the locality axiom and a weak form of the spectral axiom. Key words: stochastic partial differential equations, white noise, covariant Markov generalized random fields, Euclidean QFT, Schwinger functions, Wightman distributions
Keywords
Cite
@article{arxiv.funct-an/9607001,
title = {Covariant SPDEs and Quantum Field Structures},
author = {C. Becker and R. Gielerak and P. Ługiewicz},
journal= {arXiv preprint arXiv:funct-an/9607001},
year = {2008}
}
Comments
33 pages, Latex