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Asymptotic safety and quantum gravity amplitudes

2020/05/31 by Jan Kwapisz, Jan H. Kwapisz, Krzysztof A. Meissner
Mathematics · Physics and Astronomy · #Action (physics) #Amplitude #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Effective action #Gravitation #Graviton #Homogeneous space #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum gravity #Quantum mechanics #String (physics) #String theory #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2021.115341

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

arxiv created 2021/02/16 · openalex publication_date 2021/02/16 · arxiv updated 2021/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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. As it turns out the requirement for a quantum gravity to be defined by S-matrix, that obeys the Weinbergs asymptotic safety criteria is a very restrictive one. The idea is illustrated by the 4-graviton amplitude in string theory and its symmetries.

Citations