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.

本文研究了手性化学势\（\ mu _5 \）引入的QCD在非零手性密度\（\ rho _5 \）下的性质。该研究是在带有动态根交错费米子的QCD的晶​​格模拟中进行的。我们首先检查\（\ rho _5 \）是在非零\（\ mu _5 \）生成的，并且在手性限制下观察\（\ rho _5 \ sim \ varLambda _ {QCD} ^ 2 \ mu _5 \）。我们还测试了限制与拓扑波动之间的可能联系。为此，我们针对各种值\（\ mu _5 \）测量了拓扑敏感性\（\ chi _ {\ mathrm {top}} \）和弦张力\（\ sigma \）。我们观察到弦张力随着\（\ mu _5 \）增大而增大。似乎拓扑敏感性也随着\（\ mu _5 \）而增加，但是要更可靠地说明这一点，应该减少不确定性。我们相信我们的结果表明拓扑波动与约束强度之间可能存在联系。