1996/12/31 by S. Falkenberg, SVEN FALKENBERG, S. D. Odintsov +1 · 67 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmological constant #Cosmology and Gravitation Theories #Effective action #Einstein #Gauge (firearms) #Gauge theory #Gravitation #Gravitational constant #Newtonian fluid #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1142/s0217751x98000263
published in International Journal of Modern Physics A 13(04), 607-623 (World Scientific) · 19 pages, LaTeX, 1 figure, misprints corrected
openalex publication_date 1998/02/10 · arxiv created 1998/03/23 · arxiv updated 2010/05/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the gauge dependence of the effective average action Γ k and Newtonian gravitational constant using the RG equation for Γ k . Then we truncate the space of action functionals to get a solution of this equation. We solve the truncated evolution equation for the Einstein gravity in the De Sitter background for a general gauge parameter α and obtain a system of equatons for the cosmological and Newtonian constants. Analyaing the running of the gravitational constant we find that the Newtonian constant depends strongly on the gauge parameter. This leads to the appearance of antiscreening and screening behavior of the quantum gravity. The resolution of the gauge dependence problem is suggested. For physical gauges like the Landau–DeWitt gauge the Newtonian constant shows an antiscreening.