Gibbs measures with double stochastic integrals on a path space

Details Gibbs measures with double stochastic integrals on a path space Gibbs measures with double stochastic integrals on a path space

2007-07-23

arxiv.org/abs/0707.3362v2

Physics

Mathematical Physics

17 pages

Scientific paper

We investigate Gibbs measures relative to Brownian motion in the case when
the interaction energy is given by a double stochastic integral. In the case
when the double stochastic integral is originating from the Pauli-Fierz model
in nonrelativistic quantum electrodynamics, we prove the existence of its
infinite volume limit.

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