Gibbs measures with double stochastic integrals on a path space

2007/07/23 by Volker Betz, Betz, Volker, Fumio Hiroshima +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.0707.3362

Abstract

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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