Geodesic
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 
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/
@article{TMF_1992_90_1_a0,
     author = {K. G. Klimenko},
     title = {Three-dimensional {Gross{\textendash}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},
     year = {1992},
     volume = {90},
     number = {1},
     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
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a0/
LA  - ru
ID  - TMF_1992_90_1_a0
ER  - 
%0 Journal Article
%A K. G. Klimenko
%T Three-dimensional Gross–Neveu model at nonzero temperature and in an external magnetic field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 3-11
%V 90
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a0/
%G ru
%F TMF_1992_90_1_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Klimenko K. G., Three dimensional Gross–Neveu model in an external magnetic field, preprint IHEP 90-189, IHEP, Protvino, 1990 | MR

[2] Klimenko K. G., Three dimensional Gross–Neveu model in an external electric field, preprint IHEP 90-190, IHEP, Protvino, 1990 | MR

[3] Dolan L., Jackiw R., Phys. Rev. D, 9:12 (1974), 3320–3341 | DOI | MR

[4] Prudnikov A. P., Brychkov Yu. A., Marichev O. I., Integraly i ryady, Nauka, M., 1981 | MR | Zbl