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On the angular momentum and free energy of rotating gluon plasma

V. Braguta, M. Chernodub, E. Eremeev, I. Kudrov, A. Roenko, D. Sychev

Abstract

We study the free energy and the angular momentum of rotating hot gluon matter using first-principle numerical simulations of the $\textrm{SU}(3)$ lattice Yang-Mills theory. We calculate the specific moment of inertia and the specific deformation of the gluon matter as, respectively, the leading and next-to-leading terms in a series in angular velocity over a broad range of temperatures and various spatial boundary conditions. We show that the specific deformation, similarly to the moment of inertia, takes negative values in a phenomenologically interesting region of temperatures above the phase transition and turns positive at higher temperatures.

On the angular momentum and free energy of rotating gluon plasma

Abstract

We study the free energy and the angular momentum of rotating hot gluon matter using first-principle numerical simulations of the lattice Yang-Mills theory. We calculate the specific moment of inertia and the specific deformation of the gluon matter as, respectively, the leading and next-to-leading terms in a series in angular velocity over a broad range of temperatures and various spatial boundary conditions. We show that the specific deformation, similarly to the moment of inertia, takes negative values in a phenomenologically interesting region of temperatures above the phase transition and turns positive at higher temperatures.

Paper Structure

This paper contains 7 sections, 10 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Rotating gluodynamics on the lattice
  3. Angular momentum and free energy of rotating gluodynamics
  4. Conclusions
  5. Acknowledgements
  6. Funding
  7. Conflict of interest

Figures (3)

  • Figure 1: The imaginary angular momentum as a function of the imaginary angular velocity, calculated on a full lattice (left) and on a square sublattice of size $2R'\times 2R'$ (center, right) with periodic (P) and open (O) boundary conditions for $R'T = 11$ and $R'T = 10$.
  • Figure 2: The specific moment of inertia $\mathsf{i}_2$ and deformation $\mathsf{i}_4$ as a function of temperature computed on the lattices of different sizes with periodic boundary conditions.
  • Figure 3: The specific moment of inertia $\mathsf{i}_2$ and deformation $\mathsf{i}_4$ in the continuum limit as a function of temperature calculated in the lattices with periodic/open boundary conditions and square sublattices of different sizes $2R'$.