Non-Markovian source term for particle production by a self-interacting scalar field in the large-N approximation

TL;DR

This paper derives a comprehensive non-Markovian source term for particle production in a large-N self-interacting scalar field, incorporating back-reaction, collisions, and symmetry considerations.

Contribution

It introduces a novel non-Markovian source term that includes all higher order effects in particle production within the large-N scalar field theory.

Findings

Derived a non-Markovian source term including back-reaction and collision effects

Obtained kinetic amplitudes for particle number density changes

Showed symmetry of particle production in momentum space

Abstract

The particle production in the self-interacting N-component complex scalar field theory is studied at large N. A non-Markovian source term that includes all higher order back-reaction and collision effects is derived. The kinetic amplitudes accounting for the change in the particle number density caused by collisions are obtained. It is shown that the production of particles is symmetric in the momentum space. The problem of renormalization is briefly discussed.