Trace Anomaly and Backreaction of the Dynamical Casimir Effect

TL;DR

This paper investigates the Casimir energy and trace anomaly in a two-dimensional domain wall background, highlighting the backreaction effects of the dynamical Casimir effect through stress-tensor analysis.

Contribution

It calculates the Casimir energy and trace anomaly for a massless scalar field in a time-dependent domain wall background, revealing backreaction effects.

Findings

Trace anomaly indicates backreaction of the dynamical Casimir effect.

Casimir energy computed using renormalized stress-tensor.

Time-dependent domain wall influences quantum field behavior.

Abstract

The Casimir energy for massless scalar field which satisfies priodic boundary conditions in two-dimensional domain wall background is calculated by making use of general properties of renormalized stress-tensor. The line element of domain wall is time dependent, the trace anomaly which is the nonvanishing $T^{\mu}_{\mu}$ for a conformally invariant field after renormalization, represent the back reaction of the dynamical Casimir effect.