Study of two color QCD on large lattices

TL;DR

This study investigates the confinement-deconfinement transition in two-color lattice QCD with two flavors of fermions on large lattices, analyzing how the transition point shifts with lattice spacing and chemical potential.

Contribution

It provides new insights into the shift of the deconfinement transition at high chemical potentials using larger lattices and finer lattice spacing compared to previous studies.

Findings

Deconfinement transition occurs at higher chemical potentials with smaller lattice spacing.

String tension and Polyakov loop analyses support the shift in transition point.

Transition is sensitive to lattice spacing, affecting previous results.

Abstract

We study two colors lattice QCD (QC$_2$D) with two flavors of staggered fermions on $40^4$ and $32^4$ lattices with lattice spacing $a =0.048$~fm in the wide range of the quark chemical potential $\mu_q$. Our focus is on the confinement-deconfinement transition in this theory. Thus we compute the string tension from the Wilson loops and the static quark free energy from the Polyakov loops. We find that the deconfinement transition found earlier in the range $\mu_q \approx 800 - 1000$ MeV is shifted to higher values. This shift is attributed to decreasing of the lattice spacing used in our simulations in comparison with the earlier study.