Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-21
AnnalsPhys.321:2604-2637,2006
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, 6 figures; v2: subsect. 4.8 added (zero temperature limit), minor corrections, 37 pages
Scientific paper
10.1016/j.aop.2005.12.007
The massive Gross-Neveu model is solved in the large N limit at finite temperature and chemical potential. The scalar potential is given in terms of Jacobi elliptic functions. It contains three parameters which are determined by transcendental equations. Self-consistency of the scalar potential is proved. The phase diagram for non-zero bare quark mass is found to contain a kink-antikink crystal phase as well as a massive fermion gas phase featuring a cross-over from light to heavy effective fermion mass. For zero bare quark mass we recover the three known phases kink-antikink crystal, massless fermion gas, and massive fermion gas. All phase transitions are shown to be of second order. Equations for the phase boundaries are given and solved numerically. Implications on condensed matter physics are indicated where our results generalize the bipolaron lattice in non-degenerate conducting polymers to finite temperature.
Schnetz Oliver
Thies Michael
Urlichs Konrad
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