Three-dimensional Gross--Neveu model at nonzero temperature and in an external magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 3-11
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The phase structure of the $(2+1)$ Gross–Neveu model at nonzero temperature $T$ and in an external field $H$ is studied in the leading order of the $1/N$ expansion. It is shown that for any fixed value of $T$ there exists a critical value $H_c$ of the magnetic field such that when $H>H_c$ the chiral invariance of the model is spontaneously broken. For fixed $H$, there exists a critical value of the temperature $T_c(H)$ such that for $T>T_c(H)$ the original symmetry of the model is restored. The phase portrait of the model
is constructed in the $H-T$ plane.
@article{TMF_1992_90_1_a0,
author = {K. G. Klimenko},
title = {Three-dimensional {Gross--Neveu} model at nonzero temperature and in an external magnetic field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {3--11},
publisher = {mathdoc},
volume = {90},
number = {1},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a0/}
}
TY - JOUR AU - K. G. Klimenko TI - Three-dimensional Gross--Neveu model at nonzero temperature and in an external magnetic field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1992 SP - 3 EP - 11 VL - 90 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a0/ LA - ru ID - TMF_1992_90_1_a0 ER -
K. G. Klimenko. Three-dimensional Gross--Neveu model at nonzero temperature and in an external magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a0/