2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146877We 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.17 pagesMathematical Physics82B21, 81T10Gibbs measures with double stochastic integrals on a path spacetext