4D simplicial quantum gravity with a nontrivial measure

1992/10/01 by Bernd Brügmann, Bernd Bruegmann, Enzo Marinari +1 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevlett.70.1908

published as Phys.Rev.Lett.70:1908-1911,1993 · 4 pages text, 4 figures on 1 page included as postscript file

arxiv created 1992/10/01 · openalex publication_date 1993/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study 4D simplicial quantum gravity in the dynamical triangulation approach with a nontrivial class of measures. We find that the measure contribution plays an important role, influencing the phase diagram and the nature of the (possible) critical theory. We discuss how the lattice theory could be used to fix the quantum measure in a nonambiguous way.

Citations

• Critical behavior of dynamically triangulated quantum gravity in four dimensions

Cited by

• Monte Carlo simulations of 4d simplicial quantum gravity
• Simplical gravity in dimension greater than two
• Quantum gravity with linear action and intrinsic rigidity of spacetime
• Balls in boxes and quantum gravity
• 3D quantum gravity coupled to matter
• Towards a path integral for pure spin connection formulation of gravity
• Loop Quantum Gravity
• Discrete approaches to quantum gravity in four dimensions