Nonuniform measure in four-dimensional simplicial quantum gravity

Oct 23, 1992
15 pages
Published in:
  • Phys.Rev.D 47 (1993) 3330-3338
e-Print:
Report number:
  • SU-GP-92-9-1

Citations per year

1993200020072014201902468
Abstract:
Four-dimensional euclidean quantum gravity has been studied as a discrete model based on dynamical triangulations by Ambjorn and Jurkiewicz and by Agishtein and Migdal. We discuss a particular implementation of a Monte Carlo simulation of simplicial quantum gravity. As an application we introduce a non-uniform measure and examine its effect on simple aspects of the mathematical geometry. We find that the transition region from the hot to the cold phase is shifted and that the criticality of the transition changes.
  • quantum gravity
  • cosmological constant
  • field theory: Euclidean
  • path integral: measure
  • lattice field theory: triangulation
  • random walk
  • numerical calculations: Monte Carlo