Geodesic
Effects due to finite values of the temperature and the chemical potential in some two-dimensional field models
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 393-401

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In the mean field approximation the structure of ground state is investigated in the $N\to\infty$ Gross–Neveu model and two-dimensional $\varphi^4$ model with fermions finite temperature $T$ and chemical potential of fermions $\alpha$. Critical values $T_c$ and $\alpha_c$ are obtained. It is found that the symmetry which is broken at $T=\alpha 0$ can be restored by means of raising $T$ or $\alpha$ above critical values. The possibility of using the results in the description of physical properties of quasi-one-dimensional systems in the theory of condensed matter is discussed. 
@article{TMF_1987_73_3_a5,
     author = {V. A. Osipov and V. K. Fedyanin},
     title = {Effects due to finite values of the temperature and the chemical potential in some two-dimensional field models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {393--401},
     publisher = {mathdoc},
     volume = {73},
     number = {3},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a5/}
}
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V. A. Osipov; V. K. Fedyanin. Effects due to finite values of the temperature and the chemical potential in some two-dimensional field models. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 393-401. http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a5/