Critical Dynamics of the Hybrid Monte Carlo Algorithm
High Energy Physics - Lattice
2012-08-27 v1
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 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.
Keywords
Cite
@article{arxiv.hep-lat/9712020,
title = {Critical Dynamics of the Hybrid Monte Carlo Algorithm},
author = {SESAM and TXL collaboration and : and Th. Lippert and G. Bali and N. Eicker and L. Giusti and U. Glaessner and S. Guesken and H. Hoeber and G. Martinelli and F. Rapuano and G. Ritzenhoefer and K. Schilling and A. Spitz and J. Viehoff},
journal= {arXiv preprint arXiv:hep-lat/9712020},
year = {2012}
}
Comments
3 pages, Latex with espcrc2.sty and postscript figures, Talk given at Lattice 97