Emergent gravity, matrix models and UV/IR mixing

2008/02/29 by Harald Grosse, Harold Steinacker, Michael Wohlgenannt · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/04/023

published as JHEP0804:023,2008 · 33 pages, 3 figures. V2: references added

arxiv created 2008/03/03 · openalex publication_date 2008/04/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We verify explicitly that UV/IR mixing for noncommutative gauge theory can be understood in terms of an induced gravity action, as predicted by the identification [1] of gravity within matrix models of NC gauge theory. More precisely, we obtain the Einstein-Hilbert action by integrating out a scalar field in the adjoint. It arises from the well-known UV/IR mixing of NC gauge theory, which is carefully re-analyzed and interpreted in terms of gravity. The matrix model therefore contains gravity as an IR effect, due to UV/IR mixing.

Cited by

• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Curvature and gravity actions for matrix models: II. The case of general Poisson structures