Chiral density wave versus pion condensation in the (1+1)-dimensional NJL model

Prabal Adhikari and Jens O. Andersen
Phys. Rev. D 95, 054020 – Published 27 March 2017

Abstract

In this paper, we study the possibility of an inhomogeneous quark condensate in the (1+1)-dimensional Nambu-Jona-Lasinio model in the large-Nc limit at finite temperature T and quark chemical potential μ using dimensional regularization. The phase diagram in the μT plane is mapped out. At zero temperature, an inhomogeneous phase with a chiral-density wave exists for μ>μc, where μc is a critical chemical potential. Performing a Ginzburg-Landau analysis, we show that in the chiral limit, the tricritical point and the Lifschitz point coincide. We also consider the competition between a chiral-density wave and a constant pion condensate at finite isospin chemical potential μI. The phase diagram in the μIμ plane is mapped out and shows a rich phase structure.

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  • Received 2 February 2017

DOI:https://doi.org/10.1103/PhysRevD.95.054020

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Prabal Adhikari1,* and Jens O. Andersen2,3,†

  • 1St. Olaf College, Physics Department, 1520 St. Olaf Avenue, Northfield, Minnesota 55057, USA
  • 2Department of Physics, Faculty of Natural Sciences, NTNU, Norwegian University of Science and Technology, Høgskoleringen 5, N-7491 Trondheim, Norway
  • 3Niels Bohr International Academy, Blegdamsvej 17, Copenhagen 2100, Denmark

  • *adhika1@stolaf.edu
  • andersen@tf.phys.ntnu.no

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Issue

Vol. 95, Iss. 5 — 1 March 2017

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