Casimir effect in hyperbolic polygons

DOI10.1088/1751-8113/40/34/016zbMATH Open1121.81120arXivhep-th/0610146OpenAlexW3099705361MaRDI QIDQ3592154

Author name not available (Why is that?)

Publication date: 12 September 2007

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-th/0610146

Mathematics Subject Classification ID

No records found.

This page was built for publication: Casimir effect in hyperbolic polygons

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3592154)