Quasi-Monte Carlo methods for lattice systems: A first look

Published: 01-03-2014| Version 1 | DOI: 10.17632/7vf32xbbjn.1
K. Jansen,
H. Leovey,
A. Ammon,
A. Griewank,
M. Müller-Preussker


This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract We investigate the applicability of quasi-Monte Carlo methods to Euclidean lattice systems for quantum mechanics in order to improve the asymptotic error behavior of observables for such theories. In most cases the error of an observable calculated by averaging over random observations generated from an ordinary Markov chain Monte Carlo simulation behaves like N − 1 / 2 , where N is the number of observations. By means of quasi-Monte Carlo methods it is possible to improve this behavior for c... Title of program: qar-0.1 Catalogue Id: AERJ_v1_0 Nature of problem Certain physical models formulated as a quantum field theory through the Feynman path integral, such as quantum chromodynamics, require a non-perturbative treatment of the path integral. The only known approach that achieves this is the lattice regularisation. In this formulation the path integral is discretised to a finite, but very high dimensional integral. So far only Monte Carlo, and especially Markov chain-Monte Carlo methods like the Metropolis or the hybrid Monte Carlo algorithm have bee ... Versions of this program held in the CPC repository in Mendeley Data AERJ_v1_0; qar-0.1; 10.1016/j.cpc.2013.10.011