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We study the spatial inhomogeneity of the Polyakov loop induced byinhomogeneous chiral condensates. We formulate an effective model of gluons onthe background fields of chiral condensates, and perform its latticesimulation. On the background of inhomogeneous chiral condensates, the Polyakovloop exhibits an in-phase spatial oscillation with the chiral condensates. Wealso analyze the heavy quark potential and show that the inhomogeneous Polyakovloop indicates the inhomogeneous confinement of heavy quarks.

Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates