Critical Dynamics of the Hybrid Monte Carlo Algorithm

Details Critical Dynamics of the Hybrid Monte Carlo Algorithm Critical Dynamics of the Hybrid Monte Carlo Algorithm

1997-12-18

arxiv.org/abs/hep-lat/9712020v1

Nucl.Phys.Proc.Suppl. 63 (1998) 946-948

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Latex with espcrc2.sty and postscript figures, Talk given at Lattice 97

Scientific paper

10.1016/S0920-5632(97)00950-X

We investigate the critical dynamics of the Hybrid Monte Carlo algorithm approaching the chiral limit of standard Wilson fermions. Our observations are based on time series of lengths O(5000) for a variety of observables. The lattice sizes are 16^3 x 32 and 24^3 x 40. We work at beta=5.6, and kappa=0.156, 0.157, 0.1575, 0.158, with 0.83 > m_pi/m_rho > 0.55. We find surprisingly small integrated autocorrelation times for local and extended observables. The dynamical critical exponent $z$ of the exponential autocorrelation time is compatible with 2. We estimate the total computational effort to scale between V^2 and V^2.25 towards the chiral limit.

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