Casimir Effect in Hyperbolic Polygons

Details Casimir Effect in Hyperbolic Polygons Casimir Effect in Hyperbolic Polygons

2006-10-12

arxiv.org/abs/hep-th/0610146v3

J.Phys.A40:10611-10624,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 16

Scientific paper

10.1088/1751-8113/40/34/016

We derive a trace formula for the spectra of quantum mechanical systems in hyperbolic polygons which are the fundamental domains of discrete isometry groups acting in the two dimensional hyperboloid. Using this trace formula and the point splitting regularization method we calculate the Casimir energy for a scalar fields in such domains. The dependence of the vacuum energy on the number of vertexes is established.

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