Renormalizable acausal theories of classical gravity coupled with interacting quantum fields

Details Renormalizable acausal theories of classical gravity coupled with interacting quantum fields Renormalizable acausal theories of classical gravity coupled with interacting quantum fields

2006-11-11

arxiv.org/abs/hep-th/0611131v2

Class.Quant.Grav.24:1927-1954,2007

Physics

High Energy Physics

High Energy Physics - Theory

36 pages; v2: CQG proof-corrected version

Scientific paper

10.1088/0264-9381/24/8/003

We prove the renormalizability of various theories of classical gravity coupled with interacting quantum fields. The models contain vertices with dimensionality greater than four, 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 formulas for the beta functions of the dimensionality-six gravitational vertices induced by renormalization. Such beta functions are related to the trace-anomaly coefficients of the matter subsector.

Affiliated with

Also associated with

No associations

Rating

Renormalizable acausal theories of classical gravity coupled with interacting quantum fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Renormalizable acausal theories of classical gravity coupled with interacting quantum fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalizable acausal theories of classical gravity coupled with interacting quantum fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406116