We show that high-temperature expansions provide a basis for the novel approach to efficient Monte Carlo simulations. âWormâ algorithms utilize the idea of updating closed-path configurations (produced by high-temperature expansions) through the motion of end points of a disconnected path. An amazing result is that local; Metropolis-type schemes using this approach appear to have dynamical critical exponents close to zero (i.e.; their efficiency is comparable to the best cluster methods) as proved by finite-size scaling of the autocorrelation time for various universality classes.
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