Three-dimensional Gross--Neveu model in an~external magnetic field.~I
Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 2, pp. 211-221
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In the leading order of the $1/N$ expansion, the (2 + l)-dimensional Gross–Neveu model in a constant external magnetic field is considered. It is shown that for $g>0$ ($g$ is the coupling constant) and arbitrarily small value of $H$ the chiral invariance of the model
is spontaneously broken. For $g0$, the symmetry, broken at $H=0$, is not restored at any arbitrarily large value of the external magnetic field.
@article{TMF_1991_89_2_a4,
author = {K. G. Klimenko},
title = {Three-dimensional {Gross--Neveu} model in an~external magnetic {field.~I}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {211--221},
publisher = {mathdoc},
volume = {89},
number = {2},
year = {1991},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1991_89_2_a4/}
}
K. G. Klimenko. Three-dimensional Gross--Neveu model in an~external magnetic field.~I. Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 2, pp. 211-221. http://geodesic.mathdoc.fr/item/TMF_1991_89_2_a4/