English

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

Nuclear Theory 2022-09-22 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We analytically determine all the eigenvalues and eigenfunctions of the linearized Boltzmann collision operator in massless scalar λϕ4\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.

Keywords

Cite

@article{arxiv.2209.10370,
  title  = {Exact results for the Boltzmann collision operator in $\lambda\phi^4$ theory},
  author = {Gabriel S. Denicol and Jorge Noronha},
  journal= {arXiv preprint arXiv:2209.10370},
  year   = {2022}
}

Comments

10 pages including supplemental material

R2 v1 2026-06-28T01:49:16.309Z