Renormalization of 3d quantum gravity from matrix models

2003/07/27 by J. Ambjørn, J. Ambjorn, J. Jurkiewicz +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.physletb.2003.11.068

published as Phys.Lett. B581 (2004) 255-262 · 14 pages, 3 figures

arxiv created 2003/07/27 · openalex publication_date 2003/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Lorentzian simplicial quantum gravity is a non-perturbatively defined theory of quantum gravity which predicts a positive cosmological constant. Since the approach is based on a sum over space–time histories, it is perturbatively non-renormalizable even in three dimensions. By mapping the three-dimensional theory to a two-matrix model with ABAB interaction we show that both the cosmological and the (perturbatively) non-renormalizable gravitational coupling constant undergo additive renormalizations consistent with canonical quantization.

Citations

• Cosmological Constant - the Weight of the Vacuum
• 2 + 1 dimensional gravity as an exactly soluble system
• General relativity without coordinates

Cited by

• (2+1)-dimensional quantum gravity as the continuum limit of causal dynamical triangulations
• Emergence of a 4D World from Causal Quantum Gravity
• Nonperturbative quantum de Sitter universe