Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models

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 and find that the existence of a crystalline phase is stable against a variation of the parametrization of the underlying Polyakov loop potential. To this end, we adopt two prominent parametrizations. Moreover, we observe that the existence of a quarkyonic phase depends crucially on the parametrization, in particular in the regime of the phase diagram where inhomogeneous chiral condensation is favored.

7 pages, 3 figures

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Cited by in corpus (15)

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• QCD at finite temperature and density within the fRG approach: An overview
• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Inhomogeneous chiral condensate in the quark-meson model
• Strangeness Neutrality and QCD Thermodynamics
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Magnetic-Field Induced Critical Endpoint
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Exact tricritical point from next-to-leading-order stability analysis
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation