TY - JOUR
T1 - Possible barrier at z1 for local algorithms
AU - Bathas, Georgios
AU - Neuberger, Herbert
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.45.3880
DO - 10.1103/PhysRevD.45.3880
M3 - Article
AN - SCOPUS:0038428451
VL - 45
SP - 3880
EP - 3883
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 10
ER -