Time evolution of linearized gauge field fluctuations on a real-time lattice

Abstract

Classical real-time lattice simulations play an important role in understanding non-equilibrium phenomena in gauge theories and are used in particular to model the prethermal evolution of heavy-ion collisions. Due to instabilities, small quantum fluctuations on top of the classical background may significantly affect the dynamics of the system. In this paper we argue for the need for a numerical calculation of a system of classical gauge fields and small linearized fluctuations in a way that keeps the separation between the two manifest. We derive and test an explicit algorithm to solve these equations on the lattice, maintaining gauge invariance and Gauss's law.

arXiv comment8 pages, 4 figures, v2: typos corrected, references added

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• Anisotropic momentum broadening in the 2+1D Glasma: analytic weak field approximation and lattice simulations
• Heavy quark diffusion in an overoccupied gluon plasma
• Large-N kinetic theory for highly occupied systems
• Non-Abelian gauge preheating
• Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
• Jet quenching parameter in QCD kinetic theory
• Implicit schemes for real-time lattice gauge theory
• Broad excitations in a 2+1D overoccupied gluon plasma
• Spectral function of fermions in a highly occupied non-Abelian plasma
• Plasmon mass scale in two dimensional classical nonequilibrium gauge theory
• Equilibration and hydrodynamics at strong and weak coupling
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• Plasmon mass scale and quantum fluctuations of classical fields on a real time lattice
• Fermion and gluon spectral functions far from equilibrium
• Massless quark production in chromoelectric field with back reaction