Possible barrier at z1 for local algorithms

Georgios Bathas, Herbert Neuberger

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


It is shown that a certain class of generalizations of overrelaxation algorithms is incapable of further reducing the dynamical exponent z below its standard overrelaxed value of z1. The mean-field value is unity and is obtained in a theory that is free in the static limit, while the effect of interactions and dimensionality could be estimated with dynamical renormalization-group methods. The generalizations are obtained by viewing overrelaxation as a slightly deformed deterministic algorithm and should, therefore, hold for hybrid Monte Carlo algorithms as well.

Original languageEnglish (US)
Pages (from-to)3880-3883
Number of pages4
JournalPhysical Review D
Issue number10
StatePublished - 1992

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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