Asymptotic safety and quantum gravity amplitudes

Abstract

Application of the Weinberg's conditions of asymptotic safety to amplitudes and not to couplings of the effective action can help to uniquely define the running in the UV and avoid some of the asymptotic safety program problems. The idea is illustrated by the 4-graviton amplitude in string theory and its symmetries.

arXiv comment10 pages, text improved, references added, to appear in Nuclear Physics B

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