Numerical study of multiparticle scattering in $\lambda\phi^4$ theory

TL;DR

This paper numerically investigates classical wave collisions in $ ext{-}$ theory to understand multiparticle scattering, identifying allowed regions and boundary behaviors, with implications for quantum multiparticle production.

Contribution

It provides a numerical analysis of classical wave collisions in $ ext{-}$ theory, mapping allowed scattering regions and boundary properties, advancing understanding of semiclassical multiparticle processes.

Findings

Identified classically allowed regions in parameter space.

Characterized properties of scattering solutions at boundary.

Discussed implications for quantum multiparticle production.

Abstract

We study numerically classical collisions of waves in $\lambda\phi^4$ theory. These processes correspond to multiparticle scattering in the semiclassical regime. Parametrizing initial and final wavepackets by energy $E$ and particle numbers $N_{i}$, $N_{f}$ we find classically allowed region in the parameter space. We describe properties of the scattering solutions at the boundary of the classically allowed region. We comment on the implications of our results for multiparticle production in the quantum regime.