Trace anomaly and Casimir effect

Details Trace anomaly and Casimir effect Trace anomaly and Casimir effect

2000-07-16

arxiv.org/abs/hep-th/0007121v2

Mod.Phys.Lett. A15 (2000) 2159-2164

Physics

High Energy Physics

High Energy Physics - Theory

6pages, Latex. Journal-ref added

Scientific paper

10.1142/S0217732300002449

The Casimir energy for scalar field of two parallel conductor in two dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress tensor.We show that vacuum expectation values of stress tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal coupling reduces to the conformal coupling and stress tensor can be obtained by the local and non-local contribution of the anomalous trace. This work shows that there exists a subtle relation between Casimir effect and trace anomaly in curved space time.

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