The Inhomogeneous Road to Chiral Symmetry Breaking: A Ginzburg-Landau-Langevin Analysis

We investigate the time evolution of the quark condensate toward a chiral symmetry broken phase in hot and dense quark matter using a field-theoretic quark model with nonlocal chiral-invariant four-fermion coupling. By purposely selecting a parameter set in which inhomogeneous phases are energetically disfavored, we nonetheless observe the emergence of metastable patterned configurations that appear to persist for remarkably long timescales. These findings suggest that even when not fully stable, inhomogeneous phases may play a significant role in the dynamics of chiral symmetry breaking and restoration. To gain deeper insight into these phenomena, we also analyze the impact of the dimensionality of coordinate space on both the formation and stability of inhomogeneous chiral condensates.

• Publication year

  2025

• Venue

  Symmetry

• Publication date

  2025-04-09

• Fields of study

  Physics, Computer Science

• Identifiers
  DOI 10.3390/sym17040568
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Inhomogenuous instabilities at large chemical potential in a rainbow-ladder QCD model

  2024cited by this paper
• New tool to detect inhomogeneous chiral-symmetry breaking

  2024cited by this paper
• Dilepton Production from Moaton Quasiparticles.

  2024cited by this paper
• Lattice Study of Disordering of Inhomogeneous Condensates and the Quantum Pion Liquid in Effective \(O(N)\) Model

  2024cited by this paper
• Nonperturbative phase boundaries in the Gross-Neveu model from a stability analysis

  2024cited by this paper
• Regularization effects in the Nambu–Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime

  2024cited by this paper
• Revisiting the spatially inhomogeneous condensates in the (1+1) -dimensional chiral Gross–Neveu model via the bosonic two-point function in the infinite-N limit

  2024cited by this paper
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions 1≤d<</mml:mo>3

  2023cited by this paper
• Toward a stability analysis of inhomogeneous phases in QCD

  2023cited by this paper
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions 1≤d<3 . II. Nonzero temperature and chemical potential

  2023cited by this paper
• The compressed baryonic matter (CBM) experiment at FAIR—physics, status and prospects

  2023cited by this paper
• Particle interferometry in a moat regime

  2023cited by this paper
• Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions

  2022cited by this paper
• Inhomogeneous phases in the 3+1-dimensional Nambu-Jona-Lasinio model and their dependence on the regularization scheme

  2022cited by this paper
• Inhomogeneous Phase of the Chiral Gross-Neveu Model.

  2022cited by this paper
• Extension of the J-PARC Hadron Experimental Facility: Third White Paper

  2021cited by this paper
• Inhomogeneous Phases in the Chirally Imbalanced 2 + 1-Dimensional Gross-Neveu Model and Their Absence in the Continuum Limit

  2021cited by this paper
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation

  2021cited by this paper
• Magnetic Dual Chiral Density Wave: A Candidate Quark Matter Phase for the Interior of Neutron Stars

  2021cited by this paper
• Signatures of Moat Regimes in Heavy-Ion Collisions.

  2021cited by this paper
• Nonequilibrium Dynamics of the Chiral Quark Condensate under a Strong Magnetic Field

  2021cited by this paper
• Moat Regimes in QCD and their Signatures in Heavy-Ion Collisions

  2021cited by this paper
• Inhomogeneous phases in the quark-meson model with explicit chiral-symmetry breaking

  2020cited by this paper
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid

  2020cited by this paper
• Regulator dependence of inhomogeneous phases in the ( 2+1 )-dimensional Gross-Neveu model

  2020cited by this paper
• Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu–Jona-Lasinio model

  2018cited by this paper
• Dynamics of inhomogeneous chiral condensates

  2018influential reference
• Inhomogeneous chiral phases away from the chiral limit

  2018cited by this paper
• Fluctuations in cool quark matter and the phase diagram of quantum chromodynamics

  2018cited by this paper
• Low-temperature behavior of the quark-meson model

  2017cited by this paper
• Topical issue on Exploring Strongly Interacting Matter at High Densities - NICA White Paper

  2016cited by this paper
• Review of lattice results concerning low-energy particle physics

  2016influential reference
• Hybrid chiral condensate in the external magnetic field

  2015cited by this paper
• Inhomogeneous phases in nonlocal chiral quark models

  2015cited by this paper
• Inhomogeneous chiral condensates

  2014cited by this paper
• Generalized Ginzburg-Landau approach to inhomogeneous phases in nonlocal chiral quark models

  2014cited by this paper
• Dyson–Schwinger study of chiral density waves in QCD

  2013cited by this paper
• Nonequilibrium chiral fluid dynamics including dissipation and noise

  2011cited by this paper
• Review of lattice results concerning low-energy particle physics

  2011cited by this paper
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases

  2010cited by this paper
• Inhomogeneous phases in the Nambu-Jona-Lasinio and quark-meson model

  2009cited by this paper
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model

  2009cited by this paper
• How many phases meet at the chiral critical point?

  2009cited by this paper
• Quarkyonic chiral spirals

  2009cited by this paper
• Twisted kink crystal in the chiral Gross-Neveu model

  2008cited by this paper
• Nonequilibrium quantum field theory

  2008cited by this paper
• From relativistic quantum fields to condensed matter and back again: updating the Gross-Neveu phase diagram

  2006cited by this paper
• Chiral symmetry and density waves in quark matter

  2004cited by this paper
• The pion mass in finite volume

  2003influential reference
• Phase Transition Dynamics

  2000cited by this paper
• Forming disoriented chiral condensates through fluctuations

  1998influential reference
• A nonlocal, covariant generalisation of the NJL model

  1994cited by this paper
• Chiral theory of nucleons

  1988cited by this paper
• Lectures On Phase Transitions And The Renormalization Group

  1972cited by this paper
• STRUCTURE OF NUCLEAR MATTER

  1960cited by this paper
• Inhomogeneous phases and the Moat Regime in Nambu-Jona-Lasinio-Type models

  year unknowncited by this paper

• No citing papers are available for this paper.