Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-11-07
Phys.Rev. D65 (2002) 085040
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, REVTeX, 3 eps figures
Scientific paper
10.1103/PhysRevD.65.085040
We study the possibility of spatially non-uniform ground state in (1+1)-dimensional models with quartic fermi interactions at finite fermion densities by introducing chemical potential \mu. We examine the chiral Gross-Neveu model and the Cooper pair model as toy models of the chiral symmetry breaking and the difermion pair condensates which are presumed to exist in QCD. We confirm in the chiral Gross-Neveu model that the ground state has a crystalline structure in which the chiral condensate oscillates in space with wave number 2\mu. Whereas in the Cooper pair model we find that the vacuum structure is spatially uniform. Some discussions are given to explain this difference.
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