Perturbative confinement in thermal Yang-Mills theories induced by imaginary angular velocity

Abstract

We perturbatively compute the Polyakov loop potential at high temperature with finite imaginary angular velocity. This imaginary rotation does not violate the causality and the thermodynamic limit is well defined. We analytically show that the imaginary angular velocity induces the perturbatively confined phase and serves as a new probe to confinement physics. We discuss a possible phase diagram that exhibits adiabatic continuity from the perturbative confinement to the confined phase at low temperature. We also mention subtlety in the analytical continuation from imaginary to real angular velocity by imposing a causality bound.

6 pages, 5 figures; the conjectured phase diagram modified for our adiabatic continuity scenario, typos corrected, minor elaborations

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• Inhomogeneous confining-deconfining phases in rotating plasmas
• Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
• Z(3)-symmetric effective theory for SU(3) Yang-Mills theory at high temperature
• QCD on a small circle
• Chiral gap effect in curved space
• Lattice QCD with strong external electric fields

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