Plasmon mass scale and quantum fluctuations of classical fields 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. Above the Debye scale the classical Yang-Mills (CYM) theory can be matched smoothly to kinetic theory. First we study the limits of the quasiparticle picture of the CYM fields by determining the plasmon mass of the system using 3 different methods. Then we argue that one needs a numerical calculation of a system of classical gauge fields and small linearized fluctuations which correspond to quantum fluctuations, in a way that keeps the separation between the two manifest. We demonstrate and test an implementation of an algorithm with the linearized fluctuations showing that the linearization indeed works and the Gauss's law is conserved.

8 pages, 3 figures

References in corpus (6)

• The Color Glass Condensate
• Some Features of the Glasma
• Initial Singularity of the Little Bang
• Role of quantum fluctuations in a system with strong fields: Onset of hydrodynamical flow
• Universal self-similar scaling of spatial Wilson loops out of equilibrium
• Time evolution of linearized gauge field fluctuations on a real-time lattice