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EnglishWe prove the renormalizability of various theories of classical gravity coupled with interacting quantum fields. The models contain vertices with dimensionalities greater than 4, a finite number of matter operators and a finite or reduced number of independent couplings. An interesting class of models is obtained from ordinary power-counting renormalizable theories, letting the couplings depend on the scalar curvature R of spacetime. The divergences are removed without introducing higher derivative kinetic terms in the gravitational sector. The metric tensor has a non-trivial running, even if it is not quantized. The results are proved applying a certain map that converts classical instabilities, due to higher derivatives, into classical violations of causality, whose effects become observable at sufficiently high energies. We study acausal Einstein-Yang-Mills theory with an R-dependent gauge coupling in detail. We derive all-order formulae for the beta functions of the dimensionality-six gravitational vertices induced by renormalization, such as RR mu nu rho sigma R-mu nu rho sigma. Such beta functions are related to the trace-anomaly coefficients of the matter subsector.
| Autori interni: | |
| Autori: | Anselmi D; Halat M |
| Titolo: | Renormalizable acausal theories of classical gravity coupled with interacting quantum fields |
| Anno del prodotto: | 2007 |
| Digital Object Identifier (DOI): | 10.1088/0264-9381/24/8/003 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11568/116099
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