Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory

JOURNAL OF COMPUTATIONAL PHYSICS

卷:443

Article

Hartung, Tobias^1,2  Jansen, Karl³  Kuo, Frances Y.⁴  Leoevey, Hernan⁵  Nuyens, Dirk⁶  Sloan, Ian H.⁴ 

[1] Cyprus Inst, Computat Based Sci & Technol Res Ctr, 20 Konstantinou Kavafi St, CY-2121 Nicosia, Cyprus

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

[3] DESY Zeuthen, NIC, Platanenallee 6, D-15738 Zeuthen, Germany

[4] UNSW Sydney, Sch Math & Stat, Sydney, NSW 2052, Australia

[5] AXPO Trading & Sales, Struct Energy Trading, Pk Str 23, D-5400 Baden Baden, Germany

[6] Katholieke Univ Leuven, Dept Comp Sci, Celestijnenlaan 200A, B-3001 Leuven, Belgium

关键词: Lattice cubature;    Quasi-Monte Carlo;    Recursive integration;    Lattice gauge theory;    Quantum physics;   

DOI  :  10.1016/j.jcp.2021.110527

来源: Elsevier

【 摘 要 】

High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product structure with low order couplings , motivated by models in lattice gauge theory from quantum field theory. A novel element of this work is the potential benefit in using lattice cubature rules. The group structure within lattice rules combined with the special structure in the physics integrands may allow efficient computations based on Fast Fourier Transforms. Applications to the quantum mechanical rotor and compact U(1) lattice gauge theory in two and three dimensions are considered. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free