Conformal invariance and the regularised one-loop effective action
- 7 December 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (23) , L1131-L1134
- https://doi.org/10.1088/0305-4470/21/23/005
Abstract
A unique family Gn-1 of conformal invariants, polynomial in the extrinsic curvature of a hypersurface embedded in an n-dimensional Riemannian manifold M, is constructed. In the quantum theory of a conformally coupled scalar field on a manifold M with boundary delta M, the counterterm that regularises the one-loop effective action contains members of Gn-1 integrated over delta M. The counterterms through n=4 are given explicitly and a derivation of the n=4 boundary contribution is given based on a flat-space result.Keywords
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