Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-20
JHEP 0701:062,2007
Physics
High Energy Physics
High Energy Physics - Theory
35 pages; v2 includes comparisons with other approaches and proof corrections for JHEP
Scientific paper
10.1088/1126-6708/2007/01/062
I prove that classical gravity coupled with quantized matter can be renormalized with a finite number of independent couplings, plus field redefinitions, without introducing higher-derivative kinetic terms in the gravitational sector, but adding vertices that couple the matter stress-tensor with the Ricci tensor. The theory is called "acausal gravity", because it predicts the violation of causality at high energies. Renormalizability is proved by means of a map M that relates acausal gravity with higher-derivative gravity. The causality violations are governed by two parameters, a and b, that are mapped by M into higher-derivative couplings. At the tree level causal prescriptions exist, but they are spoiled by the one-loop corrections. Some ideas are inspired by the usual treatments of the Abraham-Lorentz force in classical electrodynamics.
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