Gluon propagator in two-color dense QCD: Massive Yang-Mills approach at one-loop

Abstract

We study the Landau gauge gluon propagators in dense two-color QCD at quark chemical potential, ${\mu }_q$, in the range from 0.5 to 1.0 GeV not reachable by the perturbative method at weak coupling. In order to take into account the non-perturbative effects, at tree level we use a massive Yang-Mills model for the Yang-Mills theory (or the Curci-Ferrari model) which has successfully described the lattice results of the gluon and ghost propagators in the Landau gauge. We couple quarks to this theory and compute the one-loop polarization effects in medium. The presence of the gluon mass significantly tempers the medium effects and uncertainties associated with the strong coupling constant ${\alpha }_s$. The diquark condensate in two-color QCD is color-singlet, for which neither electric nor magnetic screening masses should appear at the scale less than the diquark gap. The presence of the gap helps to explain the lattice results which are not very sensitive to the quark density. Meanwhile we also found the limitation of the one-loop estimate as well as the lack of some physics in perturbative medium corrections.

arXiv comment16 pages, 13 figures

References in corpus (50)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar
• From hadrons to quarks in neutron stars: a review
• Phases of Dense Quarks at Large N_c
• The NANOGrav Nine-year Data Set: Mass and Geometric Measurements of Binary Millisecond Pulsars
• Cold Quark Matter
• On the infrared behavior of Landau gauge Yang-Mills theory
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Small, Dense Quark Stars from Perturbative QCD
• The QCD Running Coupling
• Landau gauge Yang-Mills correlation functions
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• An Infrared Safe perturbative approach to Yang-Mills correlators
• Chromomagnetic instability in dense quark matter
• Quark-meson-diquark model for two-color QCD
• Vector interaction enhanced bag model for astrophysical applications
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Screening masses in neutral two-flavor color superconductor
• Debye screening and Meissner effect in a two-flavor color superconductor
• Towards the phase diagram of dense two-color matter
• A Quarkyonic Phase in Dense Two Color Matter?
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• Two-point correlation functions of QCD in the Landau gauge
• Photons in gapless color-flavor-locked quark matter
• Analytical and numerical evaluation of the Debye and Meissner masses in dense neutral three-flavor quark matter
• Debye screening and Meissner effect in a three-flavor color superconductor
• Study of the phase diagram of dense two-color QCD within lattice simulation
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons
• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• Yang-Mills correlators at finite temperature: A perturbative perspective
• Large volume behaviour of Yang-Mills propagators
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• A (1+1) dimensional example of Quarkyonic matter
• Pions in Large-$N$ Quantum Chromodynamics
• Effective repulsion in dense quark matter from non-perturbative gluon exchange
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• Finite-density gauge correlation functions in QC2D
• Yang-Mills correlators across the deconfinement phase transition
• Universal aspects of the phase diagram of QCD with heavy quarks
• Some more details of minimal-Landau-gauge Yang-Mills propagators
• Volume dependence of two-dimensional large-N QCD with a nonzero density of baryons
• Color screening in cold quark matter
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Physical unitarity for a massive Yang-Mills theory without the Higgs field: (I) A perturbative treatment
• Gluon and ghost correlation functions of 2-color QCD at finite density

Cited by in corpus (28)

• Stiffening of matter in quark-hadron continuity
• Dense 2-color QCD towards continuum and chiral limits
• Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
• Sound velocity peak and conformality in isospin QCD
• Phenomenological QCD equations of state for neutron star dynamics: Nuclear-2SC continuity and evolving effective couplings
• Dense two-color QCD from Dyson-Schwinger equations
• Effects of Dense Quark Matter on Gluon Propagators in Lattice QC${}_2$D
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Thermal quarks and gluon propagators in two-color dense QCD
• Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model
• Fate of the topological susceptibility in two-color dense QCD
• Sound velocity peak induced by the chiral partner in dense two-color QCD
• Delineating chiral separation effect in two-color dense QCD
• Small parameters in infrared QCD: The pion decay constant
• Thermal effects on sound velocity peak and conformality in isospin QCD
• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• Gluons in Two-Color QCD at High Baryon Density
• QCD phase diagram from the gluon propagator at finite temperature and density
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• A window on infrared QCD with small expansion parameters
• Speed of sound peak in two-color dense QCD: confronting effective models with lattice data
• Zero point energy of composite particles: The medium effects
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Roles of $U(1)$ axial anomaly effects in cold and dense two-color QCD with $2+2$ flavors
• Thermal quarks and Polyakov loops in two-color dense QCD
• Two Higgs Doublet Model with Scalar Mediation via Yukawa Interactions