Monte Carlo Renormalization of 2d Simplicial Quantum Gravity Coupled to Gaussian Matter
Eric B. Gregory, Simon M. Catterall, Gudmar Thorleifsson
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 c = 1 and c = 10 theories.
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