Casimir effects: An optical approach II. Local observables and thermal corrections |
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| Institution: | 1. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China;2. RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973, USA;1. Institut für Theoretische Physik, Universität Heidelberg, 69120 Heidelberg, Germany;2. Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany;3. Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, 35392 Giessen, Germany;1. APC, UMR 7164-CNRS, Université Paris Diderot – Paris 7, 10 rue Alice Domon et Ĺeonie Duquet, 75205 Paris Cedex 13, France;2. Scuola Normale Superiore and INFN, Piazza dei Cavalieri, 7, 56126 Pisa, Italy;1. Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany;2. Department of Physics, University of Jyväskylä, P.O. Box 35, FI-40014 Jyväskylä, Finland;3. Helsinki Institute of Physics, P.O. Box 64, FI-00014 University of Helsinki, Finland;4. Instituto de Física, Universidade Federal Fluminense, UFF, Niterói, 24210-346, RJ, Brazil |
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| Abstract: | We recently proposed a new approach to the Casimir effect based on classical ray optics (the “optical approximation”). In this paper we show how to use it to calculate the local observables of the field theory. In particular, we study the energy–momentum tensor and the Casimir pressure. We work three examples in detail: parallel plates, the Casimir pendulum and a sphere opposite a plate. We also show how to calculate thermal corrections, proving that the high temperature ‘classical limit’ is indeed valid for any smooth geometry. |
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