Dyson-Schwinger study of chiral density waves in QCD

Abstract

The formation of inhomogeneous chiral condensates in QCD matter at nonzero density and temperature is investigated for the first time with Dyson-Schwinger equations. We consider two massless quark flavors in a so-called chiral density wave, where scalar and pseudoscalar quark condensates vary sinusoidally along one spatial dimension. We find that the inhomogeneous region covers the major part of the spinodal region of the first-order phase transition which is present when the analysis is restricted to homogeneous phases. The triple point where the inhomogeneous phase meets the homogeneous phases with broken and restored chiral symmetry, respectively, coincides, within numerical accuracy, with the critical point of the homogeneous calculation. At zero temperature, the inhomogeneous phase seems to extend to arbitrarily high chemical potentials, as long as pairing effects are not taken into account.

5 pages, 4 figures; v2: few minor modifications, matches published version

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Cited by in corpus (35)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Inhomogeneous chiral condensates
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Landau-Peierls instability in a Fulde-Ferrell type inhomogeneous chiral condensed phase
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Inhomogeneous chiral phases away from the chiral limit
• Functional renormalization group analysis of the soft mode at the QCD critical point
• Inhomogeneous chiral symmetry breaking in dense neutron-star matter
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Inhomogeneous chiral condensates in three-flavor quark matter
• Hybrid chiral condensate in the external magnetic field
• Spurious divergences in Dyson-Schwinger equations
• Inhomogeneous phases in the quark-meson model with explicit chiral-symmetry breaking
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• Inhomogeneous quark condensate in compressed skyrmion matter
• Spontaneous magnetization of quark matter in the inhomogeneous chiral phase
• Inhomogeneous phases in nonlocal chiral quark models
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Nonuniform phases in a three-flavor Nambu--Jona-Lasinio model
• Color screening in cold quark matter
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Thermodynamics from the quark condensate
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Chiral pair fluctuations for the inhomogeneous chiral transition
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• $D$ and $D^{\ast }$ meson mixing in spin-isospin correlated cold nuclear matter
• Structure formation during phase transitions in strongly interacting matter
• Symmetry breaking effect on the inhomogeneous chiral transition in the magnetic field
• Generalized Ginzburg-Landau approach to inhomogeneous phases in nonlocal chiral quark models
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Dual chiral density wave induced oscillating Casimir effect
• Spontaneous Magnetization of Quark Matter in Inhomogeneous Chiral Phase