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We introduce a new algorithm for the simulation of Euclidean dynamicaltriangulations that mimics the Metropolis-Hastings algorithm, but where allproposed moves are accepted. This rejection-free algorithm allows for thefactorization of local and global terms in the action, a condition needed forefficient simulation of theories with global terms, while still maintainingdetailed balance. We test our algorithm on the $2d$ Ising model, and againstresults for EDT obtained with standard Metropolis. Our new algorithm allows usto simulate EDT at finer lattice spacings than previously possible, and we findgeometries that resemble semiclassical Euclidean de Sitter space in agreementwith earlier results at coarser lattices. The agreement between lattice dataand the classical de Sitter solution continues to get better as the latticespacing decreases.

An improved algorithm for dynamical triangulations and simulations of finer lattices