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Inhomogeneity of rotating gluon plasma and Tolman-Ehrenfest law in imaginary time: lattice results for fast imaginary rotation

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arxiv 2209.15534 v1 pith:7H3QNMW2 submitted 2022-09-30 hep-lat hep-phhep-th

M. N. Chernodub , V. A. Goy , A. V. Molochkov This is my paper · ORCID
classification hep-lathep-phhep-th
keywords imaginaryeuclideanphaserotatingrotationinhomogeneousplasmaresults
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We present the results of first-principle numerical simulations of Euclidean SU(3) Yang-Mills plasma rotating with a high imaginary angular frequency. The rigid Euclidean rotation is introduced via ``rotwisted'' boundary conditions along imaginary time direction. The Polyakov loop in the co-rotating Euclidean reference frame shows the emergence of a spatially inhomogeneous confining-deconfining phase through a broad crossover transition. A continuation of our numerical results to Minkowski spacetime suggests that the gluon plasma, rotating at real angular frequencies, produces a new inhomogeneous phase possessing the confining phase near the rotation axis and the deconfinement phase in the outer regions. The inhomogeneous phase structure has a purely kinematic origin, rooted in the Tolman-Ehrenfest effect in a rotating medium. We also derive the Euclidean version of the Tolman-Ehrenfest law in imaginary time formalism and discuss two definitions of temperature at imaginary Euclidean rotation.

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Cited by 4 Pith papers

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

  1. Chromomagnetic condensation and perturbative confinement induced by imaginary rotation in SU(2) Yang-Mills Theory

    hep-ph 2026-02 conditional novelty 7.0 of 10

    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.

  2. 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.

  3. 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.

  4. Imaginary Rotating Gluonic Matter at Strong Coupling

    hep-ph 2025-06 conditional novelty 5.0 of 10

    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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