Improvement of efficiency in generating random $U(1)$ variables with Boltzmann distribution

Details Improvement of efficiency in generating random $U(1)$ variables with Boltzmann distribution Improvement of efficiency in generating random $U(1)$ variables with Boltzmann distribution

1992-10-10

arxiv.org/abs/hep-lat/9210016v1

Nucl. Phys. Proc. Suppl. 26 (1992) 635

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages LaTex text (2 figures not included, sorry), UTUP-95

Scientific paper

10.1016/0920-5632(92)90356-W

A method for generating random $U(1)$ variables with Boltzmann distribution is presented. It is based on the rejection method with transformation of variables. High efficiency is achieved for all range of temparatures or coupling parameters, which makes the present method especially suitable for parallel and pipeline vector processing machines. Results of computer runs are presented to illustrate the efficiency. An idea to find such algorithms is also presented, which may be applicable to other distributions of interest in Monte Carlo simulations.

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