Renormalization of Spatially Inhomogeneous Nonequilibrium Field Dynamics

TL;DR

This paper investigates the renormalization process for semiclassical one-loop equations in non-equilibrium field theory, demonstrating that divergences can be managed with standard counterterms for general inhomogeneous configurations.

Contribution

It extends the renormalization justification to arbitrary spatially inhomogeneous fields in non-equilibrium quantum field theory.

Findings

Divergences in one-loop equations can be eliminated with standard counterterms.

Renormalizability is established for general inhomogeneous field configurations.

Applicable to certain quantum states in non-equilibrium dynamics.

Abstract

The problem of renormalization of the semiclassical one-loop equations used in the non-equilibrium field theory is considered. Recently, the renormalizability of such equations has been justified for some special cases of classical field configurations. In this paper the general case of arbitrary spatially inhomogeneous field configuration is investigated. It is shown that for certain quantum states the divergences arising in one-loop equations can be eliminated by usual perturbation-theory counterterms.