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.

16 pages, 13 figures

References in corpus (14)

• 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
• Cold Quark Matter
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Chromomagnetic instability in dense quark matter
• Towards the phase diagram of dense two-color matter
• Large volume behaviour of Yang-Mills propagators
• 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
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Color screening in cold quark matter

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