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Monte Carlo renormalization of 2d simplicial quantum gravity coupled to Gaussian matter

1998/09/17 by Eric B. Gregory, Simon Catterall, Simon M. Catterall +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-lat #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00771-8

published as Nucl.Phys. B541 (1999) 289-304 · 17 pages, 7 figures

arxiv created 1998/09/17 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear, stochastic blocking scheme for the scalar fields we are able to determine the leading eigenvalues of the stability matrix with good accuracy both for cM = 1 and cM = 10 theories.

Citations