Covariant SPDEs and Quantum Field Structures [article]

C. Becker, R. Gielerak, P. Ługiewicz
1996 arXiv   pre-print
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
arXiv:funct-an/9607001v1 fatcat:xpy6m6ecwnfznflnie7ntpzboe