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Nonuniform phases in a three-flavor Nambu–Jona-Lasinio model

J. Moreira1, B. Hiller1, W. Broniowski2,3, A. A. Osipov1,*, and A. H. Blin1

  • 1Centro de Física Computacional, Departamento de Física da Universidade de Coimbra, 3004-516 Coimbra, Portugal
  • 2The Henryk Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, PL-31342 Kraków, Poland
  • 3Institute of Physics, Jan Kochanowski University, PL-25406 Kielce, Poland

  • *On leave from Dzhelepov Laboratory of Nuclear Problems, JINR 141980 Dubna, Russia.
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Phys. Rev. D 89, 036009 – Published 24 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.036009

Abstract

It is shown that flavor mixing of the strange and light quarks allows for existence of a much larger baryonic chemical potential window for the formation of a stable dual chiral-wave state as compared to the well-known two-flavor case. In addition, strangeness catalyzes the occurrence of a new branch of nonhomogeneous solutions at moderate densities. This case study is addressed at zero temperature within the SU(3) flavor Nambu–Jona-Lasinio model with the ’t Hooft determinantal flavor mixing interaction. The modulation of the chiral condensates in the light quark sector is taken to be one dimensional, while strangeness is embedded as a homogeneous condensate in the spontaneously broken phase of chiral symmetry. A finite current quark mass for the strange quark is incorporated, while the up and down current masses are set to zero. In that case the modulation considered provides an exact analytic solution for the system. Despite the simplicity of the ansatz, the emerging phase diagram displays a very rich structure.

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Phys. Rev. D 89, 036009– Published 24 February, 2014
  • Received 16 December 2013

© 2014 American Physical Society

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