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Far-from-equilibrium kinetic dynamics of lambda?4 theory in an expanding universe

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Author(s):
Mullins, Nicki ; Denicol, Gabriel S. ; Noronha, Jorge
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 106, n. 5, p. 16-pg., 2022-09-27.
Abstract

We investigate the far-from-equilibrium behavior of the Boltzmann equation for a gas of massless scalar field particles with quartic (tree level) self-interactions (lambda phi 4) in Friedmann-Lemaitre-Robertson-Walker spacetime. Using a new covariant generating function for the moments of the Boltzmann distribution function, we analytically determine a subset of the spectrum and the corresponding eigenfunctions of the linearized Boltzmann collision operator. We show how the covariant generating function can be also used to find the exact equations for the moments in the full nonlinear regime. Different than the case of a ultrarelativistic gas of hard spheres (where the total cross section is constant), for lambda phi 4 the fact that the cross section decreases with energy implies that moments of arbitrarily high order directly couple to low order moments. Numerical solutions for the scalar field case are presented and compared to those found for a gas of hard spheres. (AU)

FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
Grantee:Jun Takahashi
Support Opportunities: Special Projects