Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-07-27
Phys.Rev. D63 (2001) 085014
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 3 figures
Scientific paper
10.1103/PhysRevD.63.085014
We study the symmetry behavior of the Gross-Neveu model in three and two dimensions with random chemical potential. This is equivalent to a four-fermion model with charge conjugation symmetry as well as Z_2 chiral symmetry. At high temperature the Z_2 chiral symmetry is always restored. In three dimensions the initially broken charge conjugation symmetry is not restored at high temperature, irrespective of the value of the disorder strength. In two dimensions and at zero temperature the charge conjugation symmetry undergoes a quantum phase transition from a symmetric state (for weak disorder) to a broken state (for strong disorder) as the disorder strength is varied. For any given value of disorder strength, the high-temperature behavior of the charge conjugation symmetry is the same as its zero-temperature behavior. Therefore, in two dimensions and for strong disorder strength the charge conjugation symmetry is not restored at high temperature.
Hong Seok-In
Kogut John B.
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