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Negative moment of inertia and rotational instability of gluon plasma

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arxiv 2303.03147 v2 pith:EIIOVJL2 submitted 2023-03-06 hep-lat cond-mat.stat-mechhep-phhep-th

classification hep-latcond-mat.stat-mechhep-phhep-th
keywords gluoninertiamomentplasmainstabilitynegativerotationalthermodynamic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using first-principle numerical simulations of the lattice SU(3) gauge theory, we calculate the isothermal moment of inertia of the rigidly rotating gluon plasma. We find that the moment of inertia unexpectedly takes a negative value below the "supervortical temperature" $T_s = 1.50(10) T_c$, vanishes at $T = T_s$, and becomes a positive quantity at higher temperatures. The negative moment of inertia indicates a thermodynamic instability of rigid rotation. We derive the condition of thermodynamic stability of the vortical plasma and show how it relates to the scale anomaly and the magnetic gluon condensate. The rotational instability of gluon plasma shares a striking similarity with the rotational instabilities of spinning Kerr and Myers-Perry black holes.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Static Quark-Antiquark Interactions Under Rotation

    hep-lat 2026-07 conditional novelty 6.0 of 10

    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.

  2. A Chromomagnetic Mechanism for the Rotational Phase Transition of Gluonic Matter

    hep-ph 2026-07 conditional novelty 6.0 of 10

    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.

  3. QFT on rotating boxes at finite temperature

    hep-lat 2025-09 conditional novelty 6.0 of 10

    Rotating thermal boxes can be represented by path integrals on flat compact manifolds T^4/Z_k with rotated boundary conditions, allowing only discrete imaginary angular velocities.

  4. Dirac fermions under imaginary rotation

    hep-th 2025-02 conditional novelty 6.0 of 10

    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.

  5. Weak Bose-Einstein condensation in a rigidly rotating magnetized charged Bose gas

    hep-ph 2026-07 reject novelty 5.0 of 10

    Rigid rotation does not restore a sharp BEC transition in a magnetized charged Bose gas; it only changes thermodynamics, and can flip the magnetic response toward paramagnetism.

  6. Chromomagnetic Condensate in Finite-Temperature SU(2) Yang-Mills Theory under Imaginary Rotation

    hep-ph 2026-02 conditional novelty 4.0 of 10

    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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