A first look at quasi-Monte Carlo for lattice field theory problems

24th IUPAP Conference on Computational Physics

物理学;计算机科学

Jansen, K.^1 ; Leovey, H.^2 ; Nube, A.^1,3 ; Griewank, A.^2 ; Mueller-Preussker, M.^3

NIC, DESY Zeuthen, Platanenallee 6, D-15738 Zeuthen, Germany^1

Institut für Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany^2

Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany^3

关键词: Anharmonic oscillators;    Field theory;    First look;    Quasi Monte Carlo methods;    Quasi-Monte Carlo;    Simple system;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/454/1/012043/pdf
DOI  :  10.1088/1742-6596/454/1/012043

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

In this project we initiate an investigation of the applicability of Quasi-Monte Carlo methods to lattice field theories 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 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 certain problems to up to N-1. We adapted and applied this approach to simple systems like the quantum harmonic and anharmonic oscillator and verified an improved error scaling.