Upper bound for the partition function of~$P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 373-381
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The $P(\varphi)_2$ Euclidean (quantum) field theory on a bounded interval with zero-value boundary conditions is considered. An asymptotic representation of the partition function in terms of the partition function of the free field and a factor that depends on the interaction is discussed. The hypothesis is partly justified. Namely, an upper bound is obtained for the partition function in terms of the right-hand side of the asymptotic expression.
@article{TMF_1983_57_3_a4,
author = {V. V. Borzov},
title = {Upper bound for the partition function of~$P(\varphi)_2$ {Euclidean} field theory with {Dirichlet} boundary conditions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {373--381},
publisher = {mathdoc},
volume = {57},
number = {3},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a4/}
}
TY - JOUR AU - V. V. Borzov TI - Upper bound for the partition function of~$P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1983 SP - 373 EP - 381 VL - 57 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a4/ LA - ru ID - TMF_1983_57_3_a4 ER -
%0 Journal Article %A V. V. Borzov %T Upper bound for the partition function of~$P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions %J Teoretičeskaâ i matematičeskaâ fizika %D 1983 %P 373-381 %V 57 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a4/ %G ru %F TMF_1983_57_3_a4
V. V. Borzov. Upper bound for the partition function of~$P(\varphi)_2$ Euclidean field theory with Dirichlet boundary conditions. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 373-381. http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a4/