2006/11/16 by Kirill Krasnov, Krasnov, Kirill · 6 citations
Physics and Astronomy · #Astrophysics (astro-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0611182
4 pages, no figures (v2) some simplifications, references added
openalex publication_date 2006/11/16 · arxiv created 2007/05/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We argue that four-dimensional quantum gravity may be essentially renormalizable if one relaxes the assumption of metricity of the theory. We work with Plebanski formulation of general relativity in which the metric (tetrad), the connection, and the curvature are all independent variables and the usual relations among these quantities are valid only on-shell. One of the Euler-Lagrange equations of this theory ensures its metricity. We show that quantum corrected action contains a counterterm that destroys this metricity property, and that no other counterterms appear, at least, at the one-loop level. The new term in the action is akin to a curvature-dependent cosmological ``constant''.