The Heat Kernel Expansion for the Electromagnetic Field in a Cavity
Abstract
We derive the first six coefficients of the heat kernel expansion for the electromagnetic field in a cavity by relating it to the expansion for the Laplace operator acting on forms. As an application we verify that the electromagnetic Casimir energy is finite.
- Publication:
-
Annales Henri Poincaré
- Pub Date:
- October 2003
- DOI:
- arXiv:
- arXiv:math-ph/0302035
- Bibcode:
- 2003AnHP....4.1001B
- Keywords:
-
- Electromagnetic Field;
- Laplace Operator;
- Heat Kernel;
- Casimir Energy;
- Heat Kernel Expansion;
- Mathematical Physics;
- 78A25;
- 81T70
- E-Print:
- 12 pages