Trace Anomaly and Backreaction of the Dynamical Casimir Effect

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.

8 pages, no figures, typos corrected, discussion added, has been accepted for the publication in GRG

References in corpus (3)

• Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
• Casimir Effect, Hawking Radiation and Trace Anomaly
• Casimir Effect in 2D Stringy Black Hole Backgrounds

Cited by in corpus (3)

• Gauge and Gravitational Anomalies and Hawking Radiation of Rotating BTZ Black Holes
• Casimir Effect, Achucarro-Ortiz Black Hole and the Cosmological Constant
• Casimir effect for scalar fields with Robin boundary conditions in Schwarzschild background