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math-ph2004★ 4 cited
Convoluted generalized white noise, Schwinger functions and their continuation to Wightman functions
S. Albeverio, H. Gottschalk, J. -L. Wu
We construct Euclidean random fields over , by convoluting generalized white noise with some integral kernels , as . We study properties of Schwinger (or m…
math-ph2004
SPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial S-matrix
S. Albeverio, H. Gottschalk, J. -L. Wu
In this article we review the construction of local, relativistic quantum vector fields by analytic continuation of Euclidean vector fields obtained as solutions of covariant SPDEs…
math-ph2004
On the formulation of SPDEs leading to local, relativistic QFTs with indefinite metric and nontrivial S-matrix
S. Albeverio, H. Gottschalk, J. -L. Wu
We discuss Euclidean covariant vector random fields as the solution of stochastic partial differential equations of the form , where is a covariant (w.r.t. a representati…