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Systematic study of autocorrelation time in pure SU(3) lattice gauge theory

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Nuclear Physics B - Proceedings Supplements, (06.12.1993)
DOI: 10.1016/0920-5632(94)90515-0

Аннотация

Results of our autocorrelation measurement performed on Fujitsu AP1000 are reported. We analyze (i) typical autocorrelation time, (ii) optimal mixing ratio between overrelaxation and pseudo-heatbath and (iii) critical behavior of autocorrelation time around cross-over region with high statistic in wide range of \$\beta\$ for pure SU(3) lattice gauge theory on \$8^4\$, \$16^4\$ and \$32^4\$ lattices. For the mixing ratio K, small value (3-7) looks optimal in the confined region, and reduces the integrated autocorrelation time by a factor 2-4 compared to the pseudo-heatbath. On the other hand in the deconfined phase, correlation times are short, and overrelaxation does not seem to matter For a fixed value of K(=9 in this paper), the dynamical exponent of overrelaxation is consistent with 2 Autocorrelation measurement of the topological charge on \$32^3 64\$ lattice at \$\beta\$ = 6.0 is also briefly mentioned.

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