O(N)-Scalar Model in Curved Spacetime with Boundaries: A Renormalization Group Approach
✍ Scribed by I. Brevik; S.D. Odintsov
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 373 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
We discuss the volume and surface running couplings for O(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 in D=4&= dimensions) is shown. For N=4 the behaviour of some gravitational couplings in the IR limit is changing qualitatively, from a growth for N 4 to a decrease for N>4. The non-local renormalization group (RG) improved effective action, account being taken of the boundary terms, is found. For O(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.