1998/10/31 by Ken-ji Hamada, Fumihiko Sugino · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00283-7
published as Nucl.Phys. B553 (1999) 283-304 · 27 pages, references added, some sentences added and corrected especially in sect.3 and 6; version to appear in Nucl. Phys. B
arxiv created 1999/05/06 · openalex publication_date 1999/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using the background-metric independence for the traceless mode as well as the conformal mode, 4D quantum gravity is described as a quantum field theory defined on a non-dynamical background-metric. The measure then induces an action with 4 derivatives. So we think that 4-th order gravity is essential and the Einstein-Hilbert term should be treated like a mass term. We introduce the dimensionless self-coupling constant t for the traceless mode. In this paper we study a model where the measure can be evaluated in the limit t → 0 exactly, using the background-metric independence for the conformal mode. The t-dependence of the measure is determined perturbatively using the background-metric independence for the traceless mode.