Existence of Green's functions in the Euclidean domain for the $P(\varphi)_2$-theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 174-180
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It is proved that Green's functions exist in the Euclidean domain for polynomial two-dimensional scalar models of the theory without spatial and time cutoffs. The theory of hypercontractive semigroups is used to prove this result.
@article{TMF_1974_18_2_a2,
author = {V. P. Gachok and N. S. Gonchar},
title = {Existence of {Green's} functions in the {Euclidean} domain for the $P(\varphi)_2$-theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {174--180},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a2/}
}
TY - JOUR AU - V. P. Gachok AU - N. S. Gonchar TI - Existence of Green's functions in the Euclidean domain for the $P(\varphi)_2$-theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1974 SP - 174 EP - 180 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a2/ LA - ru ID - TMF_1974_18_2_a2 ER -
%0 Journal Article %A V. P. Gachok %A N. S. Gonchar %T Existence of Green's functions in the Euclidean domain for the $P(\varphi)_2$-theory %J Teoretičeskaâ i matematičeskaâ fizika %D 1974 %P 174-180 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a2/ %G ru %F TMF_1974_18_2_a2
V. P. Gachok; N. S. Gonchar. Existence of Green's functions in the Euclidean domain for the $P(\varphi)_2$-theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 174-180. http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a2/