Chiral crystals in strong-coupling lattice QCD at nonzero chemical potential

Abstract

We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action suggests that at large chemical potentials its ground state is a crystalline `chiral density wave' that spontaneously breaks chiral symmetry and translation invariance. In mean-field theory, on the other hand, we find that this state is unstable. We show that lattice artifacts are partly responsible for this, and suggest that if this phase exists in QCD, then finding it in Monte-Carlo simulations would require simulating on relatively fine lattices. In particular, the baryon mass in lattice units, m_B, should be considerably smaller than its strong-coupling limit of m_B~3.

33 pages, 8 figures

References in corpus (2)

• The spectrum of lattice QCD with staggered fermions at strong coupling
• The phase diagram of the massive Gross-Neveu model, revisited

Cited by in corpus (25)

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• Quarkyonic Chiral Spirals
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
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• Interweaving Chiral Spirals
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
• A (1+1) dimensional example of Quarkyonic matter
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Tricritical behavior of the massive chiral Gross-Neveu model
• Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase
• Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Worldline Monte Carlo for fermion models at large N_f
• Magnetic-Field Induced Critical Endpoint
• Polyakov loop effects on the phase diagram in strong-coupling lattice QCD
• Dual chiral density wave induced oscillating Casimir effect
• Analytic Baby Skyrmions at Finite Density
• Strong coupling methods in QCD thermodynamics
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter