• Open Access

Inhomogeneous Phase of the Chiral Gross-Neveu Model

Riccardo Ciccone, Lorenzo Di Pietro, and Marco Serone
Phys. Rev. Lett. 129, 071603 – Published 12 August 2022

Abstract

There is substantial evidence that the ground state of the 2D chiral Gross-Neveu model, in the presence of a U(1) fermion number chemical potential μ and in the large N limit, is given by a “chiral spiral” phase, namely an inhomogeneous phase with a chiral condensate having a spatially periodic phase. We show that the chiral spiral configuration persists at finite N and T=0 for any μ>0. Our analysis is based on nonabelian bosonization, that relates the model to a U(N)1 Wess-Zumino-Witten model deformed by current-current interactions. In this description, the appearance of the inhomogeneous phase is surprisingly simple. We also rederive the phase diagram of the large N chiral Gross-Neveu model via a direct diagrammatic computation, finding agreement with previous results in the literature.

  • Figure
  • Received 26 March 2022
  • Accepted 20 July 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.071603

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.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Riccardo Ciccone1,*, Lorenzo Di Pietro2,†, and Marco Serone1,‡

  • 1SISSA, via Bonomea 265, 34136 Trieste, Italy and INFN, Sezione di Trieste, via Valerio 2, 34127 Trieste, Italy
  • 2Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, I-34151 Trieste, Italy and INFN, Sezione di Trieste, via Valerio 2, 34127 Trieste, Italy

  • *Corresponding author. rciccone@sissa.it
  • Corresponding author. ldipietro@units.it
  • Corresponding author. serone@sissa.it

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Issue

Vol. 129, Iss. 7 — 12 August 2022

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