Exact results for the Boltzmann collision operator in $\lambda\phi^4$ theory

Fluminense U.); Gabriel S. Denicol (Niteroi; Jorge Noronha (Illinois U.; Urbana)

Exact results for the Boltzmann collision operator in $\lambda\phi^4$ theory

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arxiv 2209.10370 v1 pith:U22BUS74 submitted 2022-09-21 nucl-th hep-phhep-th

Gabriel S. Denicol (Niteroi , Fluminense U.) , Jorge Noronha (Illinois U. , Urbana) This is my paper · ORCID

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keywords boltzmanncollisionlambdalinearizedoperatortheoryanalyticallyapproximation

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abstract

We analytically determine all the eigenvalues and eigenfunctions of the linearized Boltzmann collision operator in massless scalar $\lambda \phi^4$ theory in the high-temperature (classical) regime. This is used to exactly compute the shear viscosity and particle diffusion transport coefficients of this system. The corresponding relaxation time approximation for this linearized Boltzmann equation is also derived.

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Quasinormal modes of nonthermal fixed points
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Perturbations around nonthermal fixed points obey a quasinormal-mode eigenvalue problem, and for a Fokker-Planck collision kernel the spectrum is a tower of purely imaginary frequencies.

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