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

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     volume = {98},
     number = {1},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_1_a1/}
}
TY  - JOUR
AU  - A. I. Kirillov
TI  - Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 12
EP  - 28
VL  - 98
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_98_1_a1/
LA  - ru
ID  - TMF_1994_98_1_a1
ER  - 
%0 Journal Article
%A A. I. Kirillov
%T Field of sine-Gordon type in spacetime of arbitrary dimension: Existence of the nelson measure
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 12-28
%V 98
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1994_98_1_a1/
%G ru
%F TMF_1994_98_1_a1
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/