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

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)similar to Lambda(2)(QCD)mu(5). We also test the possible connection between confinement and topological fluctuations. To this end, we measured the topological susceptibility chi(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.