We perturbatively calculate the Polyakov loop potential at high temperature with imaginary angular velocity. Under the rapid imaginary rotation, the potential favors zero Polyakov loop, i.e., confinement. Moreover, this perturbatively confined phase can be smoothly connected to the hadronic phase.
The potential calculation exhibits an inhomogeneous distribution of the Polyakov loop. There should appear a spatial interface separating the confined phase and the deconfined phase in imaginary rotating systems.
We also evaluate the quark contribution to the Polyakov loop potential and confirm that spontaneous chiral symmetry breaking occurs in the perturbatively confined phase.