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Perturbative confinement in thermal Yang-Mills theories induced by imaginary angular velocity
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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.
Forward citations
Cited by 6 Pith papers
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Chromomagnetic condensation and perturbative confinement induced by imaginary rotation in SU(2) Yang-Mills Theory
In SU(2) Yang-Mills, imaginary rotation is shown to induce a chromomagnetic condensate and to turn the perturbative confinement transition first-order, with phase boundary approaching Ω̃_c = π/√3.
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Static Quark-Antiquark Interactions Under Rotation
In quenched SU(3) lattice gluodynamics, imaginary rotation suppresses bare Polyakov free energies above Tc with a bulk shift well fit by A R_xy^2 + B, while the T≈0 static potential shows no significant rotation dependence.
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A Chromomagnetic Mechanism for the Rotational Phase Transition of Gluonic Matter
Using a rotation–magnetic holographic dictionary calibrated to lattice QCD, the paper predicts real rotation raises T_c and induces a negative total moment of inertia in pure gluonic matter near deconfinement.
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Dirac fermions under imaginary rotation
Under imaginary rigid rotation, free Dirac fermions in the thermodynamic limit behave like a static system at inverse temperature q beta with the same chemical potential, yielding fractal dependence on the rotation parameter.
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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.
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Chromomagnetic Condensate in Finite-Temperature SU(2) Yang-Mills Theory under Imaginary Rotation
At one loop, imaginary rotation in the SU(2) Savvidy model enhances the chromomagnetic condensate and effective coupling, can suppress the Nielsen-Olesen instability in a finite window, and gives a negative moment-of-...
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