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The Heat Kernel Expansion for the Electromagnetic Field in a Cavity
Authors:F Bernasconi  G M Graf and D Hasler
Institution:(1) Department of Mathematics, ETH Zentrum, 8092 Zürich, Switzerland;(2) Theoretische Physik, ETH-Hönggerberg, 8093 Zürich, Switzerland;(3) Department of Mathematics, University of Copenhagen, 2100 Copenhagen, Denmark
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. Communicated by Vincent Rivasseau submitted 17/02/03, accepted: 04/07/03
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