Including inelastic scattering in a simplified gluon kinetic theory speeds up hydrodynamization, and attractors appear through gapped eigenstates of an effective Hamiltonian even without pre-thermal scaling.
On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
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We consider a system made up of exictations of a neutral scalar field, \phi, having a \lambda\phi^4 interaction term. Starting from an ensemble where the occupation number f is large, but \lambda f is small, we develop a classical field theory description of the evolution of the system toward equilibrium. A Boltzmann equation naturally emerges in this description and we show by explicit calculation that the collision term is the same as that coming from elastic scattering. This shows the equivalence of a Boltzmann equation description and a classical field theory description of the same system.
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Attractors Without Scaling: Adiabatic Hydrodynamization With and Without Inelastic Scattering
Including inelastic scattering in a simplified gluon kinetic theory speeds up hydrodynamization, and attractors appear through gapped eigenstates of an effective Hamiltonian even without pre-thermal scaling.