Condensation and prescaling in spatial Polyakov loop correlations far from equilibrium

Abstract

The far-from-equilibrium dynamics of spatial Polyakov loop correlations, which provide gauge-invariant observables akin to effective particle numbers for gluon plasmas, are investigated within real-time $\mathrm{SU}(N_c)$ lattice gauge theory at weak couplings and large gluon occupations. The momentum zero mode of these correlations reveals the dynamic formation of a condensate, while at nonzero momenta, energy is transported toward the ultraviolet. We demonstrate that the non-zero momentum dynamics is well described by a direct cascade in terms of gauge-invariant Polyakov loop excitations, exhibiting self-similar prescaling indicative of a nonthermal attractor. This behavior can be analytically understood through perturbation theory for the Polyakov loop correlations and the established dynamics of gauge field correlations. We perform simulations for both $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ gauge groups, providing further consistency checks on the $N_c$-dependence of perturbative expectations. No evidence of an inverse cascade toward lower momenta is found for momenta above the electric screening scale.

12 pages, 8 figures; published version

References in corpus (44)

• The Color Glass Condensate
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Turbulent Thermalization
• Observation of universal dynamics in a spinor Bose gas far from equilibrium
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• Universal attractor in a highly occupied non-Abelian plasma
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Fluid Dynamics far from Local Equilibrium
• Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
• Bose--Einstein Condensation and Thermalization of the Quark Gluon Plasma
• Thermalization in Weakly Coupled Nonabelian Plasmas
• On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
• Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
• Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
• The First fm/c of Heavy-Ion Collisions
• Turbulence in nonabelian gauge theory
• Bose condensation far from equilibrium
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• UV Cascade in Classical Yang-Mills Theory
• Off-equilibrium sphaleron transitions in the Glasma
• UV Cascade in Classical Yang-Mills via Kinetic Theory
• Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations
• Gluon Transport Equation in the Small Angle Approximation and the Onset of Bose-Einstein Condensation
• The Boltzmann Equation in Classical and Quantum Field Theory
• Bidirectional dynamic scaling in an isolated Bose gas far from equilibrium
• Prescaling and far-from-equilibrium hydrodynamics in the quark-gluon plasma
• Hydrodynamic attractors in heavy ion collisions: a review
• Over-populated gauge fields on the lattice
• W and Higgs particle distributions during electroweak tachyonic preheating
• Spectral function for overoccupied gluodynamics from real-time lattice simulations
• Turbulent thermalization of weakly coupled non-abelian plasmas
• Nonequilibrium fixed points in longitudinally expanding scalar theories: infrared cascade, Bose condensation and a challenge for kinetic theory
• Prescaling in a far-from-equilibrium Bose gas
• The thermalization of soft modes in non-expanding isotropic quark gluon plasmas
• Universal self-similar scaling of spatial Wilson loops out of equilibrium
• Gauge turbulence, topological defect dynamics, and condensation in Higgs models
• Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
• Gauge-invariant condensation in the nonequilibrium quark-gluon plasma
• Unraveling the nature of universal dynamics in $O(N)$ theories
• Prescaling relaxation to nonthermal attractors
• Probing universal dynamics with topological data analysis in a gluonic plasma
• Detecting defect dynamics in relativistic field theories far from equilibrium using topological data analysis

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