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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
classification nucl-thhep-phhep-th
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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quasinormal modes of nonthermal fixed points

    hep-th 2025-02 conditional novelty 8.0 of 10

    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.

  2. Towards the BBGKY hierarchy: a scheme beyond the Boltzmann equation and application to a weakly confined QCD gas

    hep-th 2024-12 reject novelty 6.0 of 10

    A correlation time approximation that keeps the second level of the BBGKY hierarchy yields analytic conserved correlators with new nonhydrodynamic cuts and a negative O(sigma_hat) correction to eta/s.

  3. Analytical Solution of the Nonlinear Relativistic Boltzmann Equation

    hep-ph 2024-11 conditional novelty 6.0 of 10

    An exact analytical BKW-like solution is derived for the nonlinear relativistic Boltzmann equation with momentum-independent, angle-dependent scattering, yielding a simple relaxation equation for the effective temperature.

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