Phase diagram of quark-antiquark and diquark condensates in the 3-dimensional Gross-Neveu model with the 4-component spinor representation

Journal Article · Tue Jul 01 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.014021· OSTI ID:21250227

Kohyama, Hiroaki ^[1]

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1. Department of Physics, Osaka City University, Sumiyoshi-ku, Osaka 558-8585 (Japan)

We construct the phase diagram of the quark-antiquark and diquark condensates at finite temperature and density in the 2+1 dimensional (3D) two flavor massless Gross-Neveu (GN) model with the 4-component quarks. In contrast to the case of the 2-component quarks, there appears the coexisting phase of the quark-antiquark and diquark condensates. This is the crucial difference between the 2-component and 4-component quark cases in the 3D GN model. The coexisting phase is also seen in the 4D Nambu Jona-Lasinio model. Then we see that the 3D GN model with the 4-component quarks bears closer resemblance to the 4D Nambu Jona-Lasinio model.

• OSTI ID: 21250227
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 1; Other Information: DOI: 10.1103/PhysRevD.78.014021; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONDENSATES
DENSITY
FLAVOR MODEL
LAGRANGIAN FIELD THEORY
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
QUARK-ANTIQUARK INTERACTIONS
QUARKS
SIMULATION
SPINORS
THREE-DIMENSIONAL CALCULATIONS