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Next: AUTOCORRELATION TIMES Up: lattice gauge autocorrelations Previous: THE GLUON ACTION

AUTOCORRELATION FUNCTIONS

In Fig. gif and Fig. gif we present comparison graphs of the autocorrelation functions for the simple plaquettes and the rectangles. At small anisotropy of the lattice the autocorrelation times of the spatial and temporal gluon operators are small and almost indistinguishable.

  
Figure: Effects of anisotropy on the autocorrelation functions for the plaquettes.

  
Figure: Effects of anisotropy on the autocorrelation functions for the rectangles.

With increasing (inverse) anisotropy, , the degeneracy lifts. The autocorrelation times increase for Pss and Rss, and remain small and degenerate for Pst, Rst1 and Rst2 observables. This is to be expected, since Pss and Rss couple strongly to .

As can be observed from the graphs our autocorrelation functions distinguish well between the spatial and temporal modes on the lattice, and can be a good starting point for the optimization procedure.



Constantine Nenkov
Fri Aug 23 12:05:10 EDT 1996