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Influence of relativistic rotation on the confinement/deconfinement transition in gluodynamics

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arxiv 2102.05084 v2 pith:4VRY3YBD submitted 2021-02-09 hep-lat hep-phhep-th

V.V. Braguta , A.Yu. Kotov , D.D. Kuznedelev , A.A. Roenko This is my paper · ORCID
classification hep-lathep-phhep-th
keywords confinementdeconfinementgluodynamicsrotationtransitionboundaryconditionslattice
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper we consider the influence of relativistic rotation on the confinement/deconfinement transition in gluodynamics within lattice simulation. We perform the simulation in the reference frame which rotates with the system under investigation, where rotation is reduced to external gravitational field. To study the confinement/deconfinement transition the Polyakov loop and its susceptibility are calculated for various lattice parameters and the values of angular velocities which are characteristic for heavy-ion collision experiments. Different types of boundary conditions (open, periodic, Dirichlet) are imposed in directions, orthogonal to rotation axis. Our data for the critical temperature are well described by a simple quadratic function $T_c(\Omega)/T_c(0) = 1 + C_2 \Omega^2$ with $C_2>0$ for all boundary conditions and all lattice parameters used in the simulations. From this we conclude that the critical temperature of the confinement/deconfinement transition in gluodynamics increases with increasing angular velocity. This conclusion does not depend on the boundary conditions used in our study and we believe that this is universal property of gluodynamics.

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Cited by 9 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. 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.

  4. Thermal Gauge Theory for a Rotating Plasma

    hep-th 2026-01 conditional novelty 6.0 of 10

    A path-integral framework extends thermal field theory with rotation and chemical potentials to all gauge theories, with generalized KMS conditions and closed-form gauge and ghost propagators.

  5. 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.

  6. Strong Coupling Expansion of Gluodynamics on a Lattice under Rotation

    hep-ph 2025-05 conditional novelty 6.0 of 10

    A strong-coupling expansion on a rotating lattice gives a deconfinement temperature that decreases with angular velocity, contradicting lattice QCD simulations, alongside a general thermodynamic formula for the shift.

  7. 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.

  8. 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.

  9. 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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