most citedConvoluted generalized white noise, Schwinger functions and their continuation to Wightman functions

4 citations · 11 across the 12 of their papers we have counts for

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math-ph2005

Nontrivial models with indefinite metric

S. Albeverio, H. Gottschalk

The non perturbative construction of quantum field models with nontrivial scattering in arbitrary dimension of the underlying Minkowski space-time is much more simple in the fr…

math-ph20051 cited

Representing Euclidean quantum fields as scaling limit of particle systems

S. Albeverio, H. Gottschalk, M. -w. Yoshida

We give a new representation of Euclidean quantum fields as scaling limits of systems of interacting, continuous, classical particles in the grand canonical ensemble.

math-ph20052 cited

Feynman graphs for non-Gaussian measures

S. H. Djah, H. Gottschalk, H. Ouerdiane

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. Fro…

math-ph20044 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

Wick rotation for holomorphic random fields

H. Gottschalk

Random field with paths given as restrictions of holomorphic functions to Euclidean space-time can be Wick-rotated by pathwise analytic continuation. Euclidean symmetries of the co…

math-ph20043 cited

Particle systems with weakly attractive interaction

H. Gottschalk

Systems of classical continuous particles in the grand canonical ensemble interacting through purely attractive, yet stable, interactions are defined. By a lattice approximation, F…