Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 1, pp. 46-55
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A. I. Kirillov. Stochastic quantization using a kerneled Langevin equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 115 (1998) no. 1, pp. 46-55. http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a2/
@article{TMF_1998_115_1_a2,
author = {A. I. Kirillov},
title = {Stochastic quantization using a~kerneled {Langevin} equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {46--55},
year = {1998},
volume = {115},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a2/}
}
TY - JOUR
AU - A. I. Kirillov
TI - Stochastic quantization using a kerneled Langevin equation
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1998
SP - 46
EP - 55
VL - 115
IS - 1
UR - http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a2/
LA - ru
ID - TMF_1998_115_1_a2
ER -
%0 Journal Article
%A A. I. Kirillov
%T Stochastic quantization using a kerneled Langevin equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 46-55
%V 115
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1998_115_1_a2/
%G ru
%F TMF_1998_115_1_a2
It is shown that a kerneled Langevin equation for the Euclidean model of the sine-Gordon-type field has solutions whose probability distributions converge to a measure. The action functional is not regularized and the space-time dimension is arbitrary.
