Geodesic
Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 1, pp. 12-28 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{TMF_1994_98_1_a1,
     author = {A. I. Kirillov},
     title = {Field of {sine-Gordon} type in spacetime of arbitrary dimension: {Existence} of the nelson measure},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {12--28},
     year = {1994},
     volume = {98},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_1_a1/}
}
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A. I. Kirillov. Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 1, pp. 12-28. http://geodesic.mathdoc.fr/item/TMF_1994_98_1_a1/

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