The Yang-Mills Spectrum from a 2-level Algorithm

Details The Yang-Mills Spectrum from a 2-level Algorithm The Yang-Mills Spectrum from a 2-level Algorithm

2003-12-19

arxiv.org/abs/hep-lat/0312034v2

JHEP 0401 (2004) 030

Physics

High Energy Physics

High Energy Physics - Lattice

4 tables, 8 figures, 27 pages

Scientific paper

10.1088/1126-6708/2004/01/030

We investigate in detail a 2-level algorithm for the computation of 2-point functions of fuzzy Wilson loops in lattice gauge theory. Its performance and the optimization of its parameters are described in the context of 2+1D SU(2) gluodynamics. In realistic calculations of glueball masses, it is found that the reduction in CPU time for given error bars on the correlator at time-separation ~0.2fm, where a mass-plateau sets in, varies between 1.5 and 7 for the lightest glueballs in the non-trivial symmetry channels; only for the lightest glueball is the 2-level algorithm not helpful. For the heavier states, or for larger time-separations, the gain increases as expected exponentially in (mt). We present further physics applications in 2+1 and 3+1 dimensions and for different gauge groups that confirm these conclusions.

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