https://doi.org/10.1140/epjb/e2002-00318-3
On planar fermions with quartic interaction at finite temperature and density
Departamento de Física, Universidad Nacional de la Plata,
C.C. 67, (1900) La Plata, Argentina
Facultad de Ingeniería, Universidad Nacional de Lomas
de Zamora, Cno. de Cintura y Juan XXIII, (1832) Lomas de Zamora,
Argentina
Corresponding author: a cabra@venus.fisica.unlp.edu.ar
Received:
4
April
2002
Revised:
12
July
2002
Published online:
15
October
2002
We study the breaking of parity symmetry in the 2+1 Gross-Neveu model at finite temperature with chemical potential μ, in the presence of an external magnetic field. We find that the requirement of gauge invariance, which is considered mandatory in the presence of gauge fields, breaks parity at any finite temperature and provides for dynamical mass generation, preventing symmetry restoration for any non-vanishing μ. The dynamical mass becomes negligibly small as temperature is raised.
PACS: 11.10.Kk – Field theories in dimensions other than four / 11.30.Er – Charge conjugation, parity, time reversal, and other discrete symmetries / 71.27.+a – Strongly correlated electron systems; heavy fermions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
