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

Abstract 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 β 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 close to 2. Autocorrelation measurement of the topological charge on 32 3 × 64 lattice at β = 6.0 is also briefly mentioned.