Lattice study of QCD at finite chiral density: topology and confinement

Abstract

In this paper we study the properties of QCD at nonzero chiral density rho _5, which is introduced through chiral chemical potential mu _5. The study is performed within lattice simulation of QCD with dynamical rooted staggered fermions. We first check that rho _5 is generated at nonzero mu _5 and in the chiral limit observe rho _5 sim varLambda _{QCD}^2 mu _5. We also test the possible connection between confinement and topological fluctuations. To this end, we measured the topological susceptibility chi _{mathrm{top}} and string tension sigma for various values of mu _5. We observed that string tension grows with mu _5. It seems that topological susceptibility also rises with mu _5, but to state this more reliably the uncertainties should be reduced. We believe that our results indicate possible connection between topological fluctuations and the strength of confinement.