Evaluation of Casimir energies through spectral functions

2001/04/03 by E. M. Santangelo
Physics and Astronomy · #hep-th

paper · pdf

published as Theor.Math.Phys. 131 (2002) 527-542; Teor.Mat.Fiz. 131 (2002) 98-117 · Lectures given at the IFSAP, St. Petersburg, Russia, December 2000. LateX, 31 pages

arxiv created 2001/04/03 · arxiv updated 2009/11/30

Abstract

This is an introductory set of lectures on elliptic differential operators and boundary problems, and their associated spectral functions. The role of zeta functions and traces of heat kernels in the regularization of Casimir energies is emphasized, and the renormalization issue is discussed through simple examples.

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