Abstract
We study the transverse and longitudinal gluon propagators in the Landau-gauge lattice QCD with gauge group S U ( 2 ) at nonzero quark chemical potential and zero temperature. We show that both propagators demonstrate substantial dependence on the quark chemical potential. This observation does not agree with earlier findings by other groups.
Highlights
The properties of nuclear matter at low temperature and high density and the location of the phase transition to deconfined quark matter are subjects of both experimental and theoretical studies
We studied the gluon propagators in Nf = 2 SU(2) QCD at T = 0 in the domain 0 < μq < 1.4 GeV, 0 < p < 6.5 GeV
It was found that both longitudinal and transverse propagators depend on the chemical potential both at low and high momenta
Summary
The properties of nuclear matter at low temperature and high density and the location of the phase transition to deconfined quark matter are subjects of both experimental and theoretical studies. It is known that the non-perturbative first principles approach as lattice QCD is inapplicable at large baryon densities and small temperatures due to the so-called sign problem. This makes important to study the QCD-like models [1], in particular lattice SU(2) QCD ( called QC2D). In this paper we present results of our study of dependence of the gluon propagators and respective screening masses on μq, including large μq values range. The main conclusion of this paper is opposite: we found substantial influence of the quark chemical potential on the gluon propagators starting from rather low values (μq ∼ 300 MeV) and increasing with increasing μq. The reason for these rather drastic differences might be that the lattice action and lattice spacing differ from those used in our study
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