Geodesic
Phase transitions in the $O(N)$ model with several coupling constants
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 125-134 
K. G. Klimenko. Phase transitions in the $O(N)$ model with several coupling constants. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 125-134. http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a9/
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     author = {K. G. Klimenko},
     title = {Phase transitions in the $O(N)$ model with several coupling constants},
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     pages = {125--134},
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     volume = {70},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a9/}
}
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Phase transformations of four-fermionic two-dimensional model (1) with several coupling constants are investigated in the leading order of $1/N$ expansion in the presence of non-zero temperature $T$ and chemical potential $\mu$. It is shown that at sufficiently large $T$ or $\mu$, the chiral invariance, spontaneously broken at $T$, $\mu=0$, is restored irrespective of values taken by the invariant constants. Critical values of the temperature and chemical potential are found.

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