Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials

Abstract

The properties of the two-flavored Gross-Neveu model in the (1+1)-dimensional spacetime are investigated in the presence of the isospin ${\mu }_I$ as well as quark number $\mu$ chemical potentials both at zero and nonzero temperatures. The consideration is performed in the limit $N_c\to \infty$, i.e. in the case with an infinite number of colored quarks. In the plane of parameters ${\mu }_I,\mu$ a rather rich phase structure is found, which contains phases with and without pion condensation. Moreover, we have found a great variety of one-quark excitations of these phases, including gapless and gapped quasiparticles.

7 pages, 4 figures

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• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
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• Axial anomaly and nesting in the inhomogeneous chiral phase