Full phase diagram of the massive Gross-Neveu model

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2005.12.007· OSTI ID:20845941

Schnetz, Oliver ^[1]; Thies, Michael ^[1]; Urlichs, Konrad ^[1]

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1. Institut fuer Theoretische Physik III, Universitaet Erlangen-Nuernberg, Erlangen (Germany)

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.

• OSTI ID: 20845941
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 11 Vol. 321; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
CRYSTALS
EQUATIONS
JACOBIAN FUNCTION
MASS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
POLYMERS
POTENTIALS
QUARKS
SCALARS