Effective Sampling of Random Surfaces by Baby Universe Surgery

Details Effective Sampling of Random Surfaces by Baby Universe Surgery Effective Sampling of Random Surfaces by Baby Universe Surgery

1994-01-19

arxiv.org/abs/hep-lat/9401022v1

Phys.Lett. B325 (1994) 337-346

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, ps-file

Scientific paper

10.1016/0370-2693(94)90022-1

We propose a new, very efficient algorithm for sampling of random surfaces in the Monte Carlo simulations, based on so-called baby universe surgery, i.e. cutting and pasting of baby universes. It drastically reduces slowing down as compared to the standard local flip algorithm, thereby allowing simulations of large random surfaces coupled to matter fields. As an example we investigate the efficiency of the algorithm for 2d simplicial gravity interacting with a one-component free scalar field. The radius of gyration is the slowest mode in the standard local flip/shift algorithm. The use of baby universe surgery decreases the autocorrelation time by three order of magnitude for a random surface of $0.5 \cdot 10^5$ triangles, where it is found to be $\tau_{int} = 150 \pm 31$ sweeps.

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