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Renormalization group and decoupling in curved space

✍ Scribed by E.V. Gorbar

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
300 KB
Volume
127
Category
Article
ISSN
0920-5632

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✦ Synopsis

I outline a series of results obtained in collaboration with I.L. Shapiro. The renormalization group equations and decoupling of massive fields in curved spacetime are studied and the cases of massive scalar, fermion, and vector fields are considered. In the higher derivative sector we arrive at the standard form of decoupling and obtain the renormalization group &functions in both UV and IR regimes as the limits of general expressions. For the cosmological and Newton constants the corresponding P-functions turned out to be unaccessible in the perturbative regime and, in particular, the form of decoupling remains unclear.

πŸ“œ SIMILAR VOLUMES

O(N)-Scalar Model in Curved Spacetime wi
O(N)-Scalar Model in Curved Spacetime with Boundaries: A Renormalization Group Approach
✍ I. Brevik; S.D. Odintsov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 373 KB

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.