Physics
Scientific paper
Apr 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996anphy.247..174b&link_type=abstract
Annals of Physics, Volume 247, Issue 1, p. 174-187.
Physics
Scientific paper
We discuss the volume and surface running couplings forO(N) scalar theory in curved spacetime with boundaries. The IR limit of the theory-in which it becomes asymptotically conformally invariant-is studied, and the existence of IR fixed points for all couplings (also inD=4-ɛdimensions) is shown. ForN=4 the behaviour of some gravitational couplings in the IR limit is changing qualitatively, from a growth forN<=4 to a decrease forN>4. The non-local renormalization group (RG) improved effective action, account being taken of the boundary terms, is found. ForO(N) scalar theory and for scalar electrodynamics, the RG improved effective action in the spherical cap is constructed. The relevance of surface effects for the effective equations of motion for the spherical cap is considered (which may be important in quantum cosmology). Some preliminary remarks on the connection with Casimir theory are also given.
Brevik Iver
Odintsov Sergei D.
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