English

Evaluation of Casimir energies through spectral functions

High Energy Physics - Theory 2007-05-23 v1

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.

Cite

@article{arxiv.hep-th/0104025,
  title  = {Evaluation of Casimir energies through spectral functions},
  author = {E. M. Santangelo},
  journal= {arXiv preprint arXiv:hep-th/0104025},
  year   = {2007}
}

Comments

Lectures given at the IFSAP, St. Petersburg, Russia, December 2000. LateX, 31 pages