Geodesic
A~statistical physics model
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 8-22

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A Gaussian model on a half-axis with interaction given by a Toeptitz form is considered. The free energy and correlation functions are calculated. A new method of inverting Toeplitz matrices and solving the generalized Wiener-Hopf problem is used. The asymptotic behavior of the correlation functions is studied and the conditions for the presence or absence of long-range order are established. The free energyand correlation functions are calculated for a Gaussian model with external field. An expression is obtained for the free energy of a multidimensional Gaussian model. 
@article{TMF_1983_54_1_a1,
     author = {V. S. Vladimirov and I. V. Volovich},
     title = {A~statistical physics model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {8--22},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a1/}
}
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V. S. Vladimirov; I. V. Volovich. A~statistical physics model. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 1, pp. 8-22. http://geodesic.mathdoc.fr/item/TMF_1983_54_1_a1/