Green Function Simulation of Hamiltonian Lattice Models with Stochastic Reconfiguration

Details Green Function Simulation of Hamiltonian Lattice Models with Stochastic Reconfiguration Green Function Simulation of Hamiltonian Lattice Models with Stochastic Reconfiguration

1999-07-20

arxiv.org/abs/hep-lat/9907015v2

Eur.Phys.J.C13:357-364,2000

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 5 PostScript Figures, RevTeX, two references added

Scientific paper

10.1007/s100520000330

We apply a recently proposed Green Function Monte Carlo to the study of Hamiltonian lattice gauge theories. This class of algorithms computes quantum vacuum expectation values by averaging over a set of suitable weighted random walkers. By means of a procedure called Stochastic Reconfiguration the long standing problem of keeping fixed the walker population without a priori knowledge on the ground state is completely solved. In the $U(1)_2$ model, which we choose as our theoretical laboratory, we evaluate the mean plaquette and the vacuum energy per plaquette. We find good agreement with previous works using model dependent guiding functions for the random walkers.

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