The Casimir Effect of Curved Space-time (formal developments)
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The free energy due to the vacuum fluctuations of matter fields on a classical gravitational background is discussed. It is shown explicitly how this energy is calculated for a non-minimally coupled scalar field in an arbitrary gravitational background, using the heat kernel method. The treatment of (self-)interacting fields of higher spin is outlined, using a meanfield approximation to the gaugefield when treating the gauge boson self interaction and the fermion-gauge boson interaction.
LaTeX, 16 pages, appears in Proceedings of the 3rd International Alexander Friedman Seminar on Gravitation and Cosmology, Friedman Lab. Press, St. Petersburg 1995
LaTeX, 16 pages, appears in Proceedings of the 3rd International Alexander Friedman Seminar on Gravitation and Cosmology, Friedman Lab. Press, St. Petersburg 1995