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-21/4 towards the chiral limit
Lippert, T., Bali, G., Eicker, N., Giusti, L., Glässner, U., Güsken, S., et al. (1998). Critical dynamics of the hybrid Monte Carlo algorithm. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 63(1-3), 946-948 [10.1016/S0920-5632(97)00950-X].
Critical dynamics of the hybrid Monte Carlo algorithm
Giusti, L;Rapuano, F;
1998
Abstract
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-21/4 towards the chiral limit
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