Casimir Effect, Hawking Radiation and Trace Anomaly

TL;DR

This paper explores the interplay of Casimir energy, Hawking radiation, and trace anomaly in a 2D black hole background, showing how these phenomena contribute to the stress tensor in quantum field theory.

Contribution

It introduces a method to derive the vacuum stress tensor combining Casimir effect, trace anomaly, and Hawking radiation in a 2D black hole setting, with extensions to 4D underway.

Findings

Vacuum stress tensor can be obtained from Casimir effect, trace anomaly, and Hawking radiation.

The approach provides insights into quantum effects near black holes.

Progress is being made to extend the analysis to four-dimensional spacetimes.

Abstract

The Casimir energy for massless scalar field of two parallel conductor, in two dimensional Schwarzchild black hole background, with Dirichlet boundary conditions is calculated by making use of general properties of renormalized stress tensor. We show that vacuum expectation value of stress tensor can be obtain by Casimir effect, trace anomaly and Hawking radiation. Four-dimensional of this problem, by this method, is under progress by this author.