Dissecting the moat regime at low energies I: Renormalization and the phase structure

Abstract

Dense QCD matter can feature a moat regime, where the static energy of mesons is minimal at nonzero momentum. Valuable insights into this regime can be gained using low-energy models. This, however, requires a careful assessment of model artifacts. We therefore study the effects of renormalization and in-medium modifications of quark-meson interaction on the moat regime. To capture the main effects, we use a two-flavor quark-meson model at finite temperature and baryon density in the random phase approximation. We put forward a convenient renormalization scheme to account for the nontrivial momentum dependence of meson self-energies and discuss the role of renormalization conditions for renormalization group consistent results on the moat regime. In addition, we demonstrate and that its extent in the phase diagram critically depends on the interaction of quarks and mesons.

17 pages, 8 figures

References in corpus (25)

• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• Inhomogeneous chiral condensates
• Chiral phase structure and critical end point in QCD
• Properties of the QCD Matter -- An Experimental Review of Selected Results from RHIC BES Program
• Baryon number fluctuations at finite temperature and density
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Signatures of Moat Regimes in Heavy-Ion Collisions
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Higher-Order Cumulants and Correlation Functions of Proton Multiplicity Distributions in $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV Au+Au Collisions at the RHIC STAR Experiment
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Bose-Einstein condensation and Silver Blaze property from the two-loop $\Phi$-derivable approximation
• Consistent parameter fixing in the quark-meson model with vacuum fluctuations
• On-shell parameter fixing in the quark-meson model
• The QCD moat regime and its real-time properties
• Phase diagram of the non-uniform chiral condensate in different regularization schemes at T=0
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• $\mathcal{P}T$ symmetry, pattern formation, and finite-density QCD
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Dilepton production from moaton quasiparticles
• Modified dilepton production rate from charged pion-pair annihilation in the inhomogeneous chiral condensed phase