High-temperature behavior of the partition function for the~$P(\varphi)_2$ model of Euclidean field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 328-338

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The $P(\varphi)_2$ model of Euclidean (quantum) field theory on a bounded interval with zero-value boundary conditions is considered. An asymptotic representation of the partition function is obtained in the form of a product of the partition function of the free field and a factor that depends on the interaction. Some physical consequences of the result are discussed.
@article{TMF_1988_76_3_a1,
     author = {V. V. Borzov},
     title = {High-temperature behavior of the partition function for the~$P(\varphi)_2$ model of {Euclidean} field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {328--338},
     publisher = {mathdoc},
     volume = {76},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a1/}
}
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V. V. Borzov. High-temperature behavior of the partition function for the~$P(\varphi)_2$ model of Euclidean field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 328-338. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a1/