91-79 Bathas G., Neuberger H.

A possible barrier at $z\approx 1$ for local algorithms. (22K, TeX) Dec 16, 91

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Abstract. It is shown that a certain class of generalizations of over-relaxation algorithms is incapable to further reduce the dynamical exponent z below its standard over-relaxed value of z=1 approximately. Approximately means that the mean field value is one, while the true value can be somewhat different in certain dimensions. The generalizations are obtained by viewing over-relaxation as a slightly deformed deterministic algorithm and should, therefore, hold for Hybrid Monte Carlo algorithms as well.

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