One-loop renormalization of the two-dimensional linearσmodel and Gross-Neveu model at finite temperature

1993 ◽  
Vol 48 (6) ◽  
pp. 2845-2853
Author(s):  
Sin Kyu Kang ◽  
Jae Kwan Kim
Keyword(s):  
Finite Temperature ◽  
Two Dimensional ◽  
Gross Neveu Model

scholarly journals The Gross-Neveu model at finite temperature and density

1987 ◽  
Vol 280 ◽  
pp. 289-303 ◽  
Author(s):  
F. Karsch ◽  
J. Kogut ◽  
H.W. Wyld
Keyword(s):  
Finite Temperature ◽  
Gross Neveu Model

scholarly journals MAGNETIC INSTABILITY IN A PARITY INVARIANT TWO-DIMENSIONAL FERMION SYSTEM

2000 ◽  
Vol 14 (14) ◽  
pp. 1441-1449 ◽  
Author(s):  
M. ELIASHVILI ◽  
G. TSITSISHVILI
Keyword(s):  
High Temperature ◽  
Temperature Regime ◽  
Ground State ◽  
Finite Temperature ◽  
Two Dimensional ◽  
Fermion System ◽  
Temperature Analysis ◽  
Magnetic Instability ◽  
High Temperature Regime

We consider the parity invariant QED2+1 where the matter is represented as a mixture of fermions with opposite spins. It is argued that the perturbative ground state of the system is unstable with respect to the formation of magnetized ground state. Carrying out the finite temperature analysis we show that the magnetic instability disappears in the high temperature regime.

scholarly journals APPROACH TO D-DIMENSIONAL GROSS–NEVEU MODEL AT FINITE TEMPERATURE AND CURVATURE

1996 ◽  
Vol 11 (10) ◽  
pp. 785-793 ◽  
Author(s):  
SHINYA KANEMURA ◽  
HARU-TADA SATO
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Finite Temperature ◽  
Phase Structure ◽  
Critical Line ◽  
Chiral Symmetry Breaking ◽  
Leading Order ◽  
Third Order ◽  
Gross Neveu Model

We discuss phase structure of chiral symmetry breaking of the D-dimensional (2≤D≤3) Gross–Neveu model at finite temperature, density and constant curvature. We evaluate the effective potential in a weak background approximation to thermalize the model as well as in the leading order of the 1/N-expansion. A third-order critical line is observed similarly to the D=2 case.

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