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Crystalline ground states in Polyakov-loop extended Nambu–Jona-Lasinio models

Jens Braun, Felix Karbstein, Stefan Rechenberger, and Dietrich Roscher
Phys. Rev. D 93, 014032 – Published 27 January 2016
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  • INTRODUCTION
  • MODEL
  • PHASE STRUCTURE
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    Nambu–Jona-Lasinio-type models have been used extensively to study the dynamics of the theory of the strong interaction at finite temperature and quark chemical potential on a phenomenological level. In addition to these studies, which are often performed under the assumption that the ground state of the theory is homogeneous, searches for the existence of crystalline phases associated with inhomogeneous ground states have attracted a lot of interest in recent years. In this work, we study the Polyakov-loop extended Nambu–Jona-Lasinio model using two prominent parametrizations and find that the existence of a crystalline phase is stable against a variation of the parametrization of the underlying Polyakov loop potential.

    • Figure
    • Figure
    • Received 6 November 2015

    DOI:https://doi.org/10.1103/PhysRevD.93.014032

    © 2016 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    QCD phase transitionsQuark-gluon plasmaStrong interaction
    Particles & Fields

    Authors & Affiliations

    Jens Braun1,2, Felix Karbstein3,4, Stefan Rechenberger1, and Dietrich Roscher1

    • 1Institut für Kernphysik (Theoriezentrum), Technische Universität Darmstadt, D-64289 Darmstadt, Germany
    • 2ExtreMe Matter Institute EMMI, GSI, Planckstraße 1, D-64291 Darmstadt, Germany
    • 3Helmholtz-Institut Jena, Fröbelstieg 3, D-07743 Jena, Germany
    • 4Theoretisch-Physikalisches Institut, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

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    Issue

    Vol. 93, Iss. 1 — 1 January 2016

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    Images

    • Figure 1
      Figure 1

      Chiral phase diagram of the PNJL model with two massless quark flavors in the plane spanned by the temperature in units of Tχ,0≡Tχ(μ=0) and the quark chemical potential in units of mq obtained with a μ-dependent T0 parameter. The black solid/dashed line denotes the second-/first-order transition for the homogeneous setup, i.e., setting Q≡0 in Eq. (11). Both lines meet at a critical point (blue dot). The energetically favored inhomogeneous chiral condensate is found between the red solid and red dashed line, being of second and first order, respectively.

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    • Figure 2
      Figure 2

      Polyakov loop (left panel) and adjoint Polyakov loop (right panel) as a function of the temperature in units of Tχ,0 for the specific choice of μ/mq=1.02 for both T0=208  MeV and a μ-dependent parametrization of T0; see main text for details.

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