2017/10/31 by Alexey S. Koshelev, K. Sravan Kumar, Leonardo Modesto +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Class (philosophy) #Cosmology and Gravitation Theories #Gravitation #Graviton #Minkowski space #Noncommutative and Quantum Gravity Theories #Operator (biology) #Propagator #Quantum field theory #Quantum gravity #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.98.046007
published as Phys. Rev. D 98, 046007 (2018) · 24 pages, final version with journal corrections
openalex created_date 2017/11/10 · openalex publication_date 2018/08/10 · arxiv created 2018/08/15 · arxiv updated 2018/08/16 · openalex updated_date 2026/08/05
We hereby study the properties of a large class of weakly nonlocal gravitational theories around the (anti--) de Sitter spacetime background. In particular, we explicitly prove that the kinetic operator for the graviton field has the same structure as the one in Einstein-Hilbert theory around any maximally symmetric spacetime. Therefore, the perturbative spectrum is the same as standard general relativity, while the propagator on any maximally symmetric spacetime is a mere generalization of the one from Einstein's gravity derived and extensively studied in several previous papers. At quantum level the range of theories presented here is superrenormalizable or finite when proper (not affecting the propagator) terms cubic or higher in curvatures are added. Finally, it is proven that for a large class of nonlocal theories, which in their actions do involve neither the Weyl nor the Riemann tensor, the theory is classically equivalent to the Einstein-Hilbert one with a cosmological constant by means of a metric field redefinition at any perturbative order.