This article is cited in 5 papers

Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure

A. I. Kirillov

Moscow Power Engineering Institute (Technical University)

Abstract: A model of a field with bounded current density is investigated. It is shown that there exists an infinite-fold integral that determines a generating functional of the Schwinger functions. It is shown that this functional is the Fourier transform of a probability measure on the field trajectories that is concentrated in a Hilbert subspace of the space of tempered distributions of first order of singularity. It is shown that the field satisfies the strong regularity axiom of Osterwalder and Schrader.

Received: 22.01.1993

 English version: Theoretical and Mathematical Physics, 1994, 98:1, 8–19

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