Properties of the Boltzmann equation in the classical approximation

Abstract

We study the Boltzmann equation with elastic point-like scalar interactions in two different versions of the the classical approximation. Although solving numerically the Boltzmann equation with the unapproximated collision term poses no problem, this allows one to study the effect of the ultraviolet cutoff in these approximations. This cutoff dependence in the classical approximations of the Boltzmann equation is closely related to the non-renormalizability of the classical statistical approximation of the underlying quantum field theory. The kinetic theory setup that we consider here allows one to study in a much simpler way the dependence on the ultraviolet cutoff, since one has also access to the non-approximated result for comparison.

arXiv comment37 pages, 21 figures

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Cited by in corpus (14)

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• Evolution to the Quark-Gluon Plasma
• Boost invariant formulation of the chiral kinetic theory
• Initial State Quantum Fluctuations in the Little Bang
• Viscous corrections to anisotropic flow and transverse momentum spectra from transport theory
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• Some Aspects of the Theory of Heavy Ion Collisions
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• Thermalization of gluons in spatially homogeneous systems
• Kinetic approach to a relativistic Bose-Einstein condensate
• Early Time Dynamics and the Bulk
• Kinetic theory of a longitudinally expanding system