Spectral function for overoccupied gluodynamics from real-time lattice simulations

Abstract

We study the spectral properties of a highly occupied non-Abelian non-equilibrium plasma appearing ubiquitously in weak coupling descriptions of QCD matter. The spectral function of this far-from-equilibrium plasma is measured by employing linear response theory in classical-statistical real-time lattice Yang-Mills simulations. We establish the existence of transversely and longitudinally polarized quasiparticles and obtain their dispersion relations, effective mass, plasmon frequency, damping rate and further structures in the spectral and statistical functions. Our new method can be interpreted as a non-perturbative generalization of hard thermal loop (HTL) effective theory. We see indications that our results approach leading order HTL in the appropriate limit. The method can also be employed beyond the range of validity of HTL.

20 pages, 15 figures; v2: published version - references and footnotes added, minor revisions in the Abstract and Secs. III.E and IV

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• The art of simulating the early Universe -- Part I
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• Predictions for Cold Nuclear Matter Effects in $p+$Pb Collisions at $\sqrt{s_{{}_{NN}}}=8.16$ TeV
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• Heavy quark diffusion in an overoccupied gluon plasma
• Far-from-equilibrium universality in the two-dimensional Heisenberg model
• Breaking the Fluctuation-Dissipation Relation by Universal Transport Processes
• Semiclassical Approximation meets Keldysh-Schwinger diagrammatic technique: Scalar ${\phi }^4$
• 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
• Real-time lattice gauge theory actions: unitarity, convergence, and path integral contour deformations
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• Memory effect in Yang-Mills theory
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• Broad excitations in a 2+1D overoccupied gluon plasma
• Many-body chaos near a thermal phase transition
• Spectral function of fermions in a highly occupied non-Abelian plasma
• Thermalization and dynamical spectral properties in the quark-meson model
• Effect of mesonic off-shell correlations in the PNJL equation of state
• Evolution of initial stage fluctuations in the glasma
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics
• 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
• Soft-gluon exchange matters: isotropic screening in QCD kinetic theory
• Real-time correlators in 3+1D thermal lattice gauge theory
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations
• Heavy quark momentum diffusion coefficient in 3D gluon plasma
• From the colour glass condensate to filamentation: Systematics of classical Yang-Mills theory
• Condensation and prescaling in spatial Polyakov loop correlations far from equilibrium
• Spectral function for overoccupied gluodynamics from classical lattice simulations
• Long and short distance behavior of the imaginary part of the heavy-quark potential
• Fermion and gluon spectral functions far from equilibrium
• Real-Time-Evolution of Heavy Quarks in the Glasma