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On the paths H
lder continuity in models of Euclidean quantum field theory
Authors:
Sergio Albeverio a;
Roman Gielerak b;
Francesco Russo c
| Affiliations: | a Institut f r Angewandte Mathematik, Universit t Bonn, Bonn, Germany |
| b Department of Mechanics, Technical University of Zielona Gora, Zielona Gora, ul Podgorna 60, Poland | |
c Institut Galil e, Mathmatiques 99, Universit Paris 13, Villetaneuse, France |
DOI:
10.1081/SAP-120000217
Publication Frequency:
6 issues per year
Published in:
Stochastic Analysis and Applications,
Volume
19,
Issue
5
October
2001
, pages 677
- 702
Stochastic Analysis and Applications,
Volume
19,
Issue
5
October
2001
, pages 677
- 702
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(English)
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(English)
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Abstract
Sample paths properties of certain stochastic processes connected to models of Euclidean Quantum Field Theory are studied. In particular, the H
 lder continuity of paths of the coordinate processes and trace processes is proven. The results are obtained by an application of classical probabilistic criteria together with basic estimates proven in Constructive Quantum Field Theory.
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