Geodesic
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 
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/
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     title = {Upper bound for the partition function of~$P(\varphi)_2$ {Euclidean} field theory with {Dirichlet} boundary conditions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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