Ai. Kirillov, FIELD OF SINE-GORDON TYPE IN SPACETIME OF ARBITRARY DIMENSION - EXISTENCE OF THE NELSON MEASURE, Theoretical and mathematical physics, 98(1), 1994, pp. 8-19
A model of a field with bounded current density is investigated. It is
shown that there exists an infinite-fold integral that determines a g
enerating functional of the Schwinger functions. It is shown that this
functional is the Fourier transform of a probability measure on the f
ield trajectories that is concentrated in a Hilbert subspace of the sp
ace of tempered distributions of first order of singularity. It is sho
wn that the field satisfies the strong regularity axiom of Osterwalder
and Schrader.