The Casimir Effect of Curved Space-time (formal developments)

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 16 pages, appears in Proceedings of the 3rd International Alexander Friedman Seminar on Gravitation and Cosmology, Frie

Scientific paper

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.

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