Conformal Anomaly for Free Scalar Propagation on Curved Bounded Manifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages. To appear in General Relativity and Gravitation

Scientific paper

10.1007/s10714-005-0027-x

The trace anomaly for free propagation in the context of a conformally
invariant scalar field theory defined on a curved manifold of positive constant
curvature with boundary is evaluated through use of an asymptotic heat kernel
expansion. In addition to their direct physical significance the results are
also of relevance to the holographic principle and to Quantum Cosmology.

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