At strong coupling, imaginary rotation suppresses the Polyakov-loop interaction, so the predicted deconfinement temperature of pure gluonic matter increases with the imaginary angular velocity.
Deconfinement transition in the revolving bag model
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abstract
Based on the bag model, we revisit the deconfinement phase transition under rotation. On top of the usual rotational energy for noninteracting particles, we perturbatively analyze the revolution effect of the hadron bag, i.e., of the potential confining quarks. The revolution effect can be phenomenologically translated into the rotational correction to the QCD vacuum energy or the gluon condensate. We demonstrate that if the revolution effect is (is not) taken into account, the transition temperature increases (decreases) as the angular velocity increased. The `revolving bag model' provides a feasible explanation of the recent lattice simulations, contrary to effective models, showing that rotation favors the confined phase.
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Imaginary Rotating Gluonic Matter at Strong Coupling
At strong coupling, imaginary rotation suppresses the Polyakov-loop interaction, so the predicted deconfinement temperature of pure gluonic matter increases with the imaginary angular velocity.