scholarly journals Symmetry nonrestoration in a Gross-Neveu model with a random chemical potential

2001 ◽  
Vol 63 (8) ◽  
Author(s):  
Seok-In Hong ◽  
John B. Kogut
2008 ◽  
Vol 78 (4) ◽  
Author(s):  
D. Ebert ◽  
K. G. Klimenko ◽  
A. V. Tyukov ◽  
V. Ch. Zhukovsky

2000 ◽  
Vol 62 (2) ◽  
Author(s):  
H. R. Christiansen ◽  
A. C. Petkou ◽  
M. B. Silva Neto ◽  
N. D. Vlachos

JETP Letters ◽  
1998 ◽  
Vol 68 (5) ◽  
pp. 460-466 ◽  
Author(s):  
M. A. Vdovichenko ◽  
A. K. Klimenko

2010 ◽  
Vol 25 (02n03) ◽  
pp. 616-626 ◽  
Author(s):  
GERALD V. DUNNE

The existence of crystalline condensates in the temperature and chemical potential phase diagram of the Gross-Neveu models can be traced to intricate symmetries of the associated inhomogeneous gap equation. The gap equation based on the Ginzburg-Landau expansion is precisely the mKdV or AKNS hierarchy of integrable nonlinear equations for the Gross-Neveu model with discrete or continuous chiral symmetry, respectively. The former model also has a dense-dilute symmetry that is due to the energy-reflection duality of the underlying quasi-exactly soluble spectral operators.


1999 ◽  
Vol 557 (1-2) ◽  
pp. 327-351 ◽  
Author(s):  
Ian Barbour ◽  
Simon Hands ◽  
John B. Kogut ◽  
Maria-Paola Lombardo ◽  
Susan Morrison

1995 ◽  
Vol 442 (1-2) ◽  
pp. 364-388 ◽  
Author(s):  
Simon Hands ◽  
Seyong Kim ◽  
John B. Kogut

1995 ◽  
Vol 10 (24) ◽  
pp. 1777-1785 ◽  
Author(s):  
SHINYA KANEMURA ◽  
HARU-TADA SATO

We discuss a phase structure of chiral symmetry breaking in the Gross-Neveu model at finite temperature, density and constant curvature. The effective potential is evaluated in the leading order of the 1/N-expansion and in a weak curvature approximation. The third-order critical line is found on the critical surface in the parameter space of temperature, chemical potential and constant curvature.


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