Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-01-09
Class.Quant.Grav. 17 (2000) 2255-2266
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 1 figure. Additional references and minor elucidating remarks added. To appear in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/17/11/307
The effect of quantum corrections to a conformally invariant field theory for a self-interacting scalar field on a curved manifold with boundary is considered. The analysis is most easily performed in a space of constant curvature the boundary of which is characterised by constant extrinsic curvature. An extension of the spherical formulation in the presence of a boundary is attained through use of the method of images. Contrary to the consolidated vanishing effect in maximally symmetric space-times the contribution of the massless "tadpole" diagram no longer vanishes in dimensional regularisation. As a result, conformal invariance is broken due to boundary-related vacuum contributions. The evaluation of one-loop contributions to the two-point function suggests an extension, in the presence of matter couplings, of the simultaneous volume and boundary renormalisation in the effective action.
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