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Phase diagram of the massless Gross-Neveu model with two components

Michael Thies*

  • *Contact author: michael.thies@gravity.fau.de
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Phys. Rev. D 114, 076004 – Published 5 October, 2026

DOI: https://doi.org/10.1103/nhgs-l4gn

Abstract

Recently, Benini et al. have presented exact results for the Gross-Neveu model at finite density, both at finite N and in the large N limit. Generalizing previous studies, they introduce a chemical potential acting only on a subset of fermion flavors—the two-component Gross-Neveu model. Here, we take up this idea and extend the semiclassical study to finite temperature. The full (large N) phase diagram including inhomogeneous phases is constructed without solving the thermal Hartree-Fock problem. All phase boundaries can be found on the basis of various kinds of stability analyses. As a result, we find a qualitative change of the phase diagram at some critical filling fraction.

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Phys. Rev. D 114, 076004– Published 5 October, 2026
  • Received 9 July 2026
  • Accepted 3 September 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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