Study of two color QCD on large lattices

We study two colors lattice QCD (${\mathrm{QC}}_2\mathrm{D}$) with two flavors of staggered fermions on ${40}^4$ and ${32}^4$ lattices with lattice spacing $a=0.048\mathrm{fm}$ 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 ${\mu }_q\approx 800–1000\mathrm{MeV}$ 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.

Figure 1

The static potential $aV(r)$ as function of distance $r$ for few values of ${\mu }_q$ on ${40}^4$ lattices (left) and on ${32}^4$ lattices (right). The curves show fits (4) or (5) as described in the text.

Figure 2

The string tension $\sigma$ (divided by respective value obtained at ${\mu }_q=0$) as function of ${\mu }_q$ at three values of temperature. The results for $T=140\mathrm{MeV}$ are taken from [11].

Figure 3

The Polyakov loop (left) and its susceptibility (right) for two lattices computed after 5 HYP iterations.

Figure 4

The confinement-deconfinement transition in $({\mu }_q,T)$ plane.