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

DOI10.1016/j.jcp.2021.110527OpenAlexW3100799851MaRDI QIDQ2132606

Hernan Leövey, Frances Y. Kuo, Tobias Hartung, Dirk Nuyens, Ian H. Sloan, Karl Jansen

Publication date: 28 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05451

zbMATH Keywords

lattice gauge theoryquantum physicsquasi-Monte Carlorecursive integrationlattice cubature

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Quantum field theory; related classical field theories (81Txx) Probabilistic methods, stochastic differential equations (65Cxx)

Uses Software

• Orthants
• qar-0.1

Cites Work

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• On the efficient numerical solution of lattice systems with low-order couplings
• Topological lattice actions
• Quasi-Monte Carlo methods for lattice systems: a first look
• The numerical evaluation of certain multivariate normal integrals
• Recursive integration methodologies with applications to the evaluation of multivariate normal probabilities
• Recursive integration methodologies with statistical applications
• Monte Carlo and quasi-Monte Carlo sampling
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• A New Reconstruction of Multivariate Normal Orthant Probabilities
• Avoiding the Sign Problem in Lattice Field Theory
• Zeta-regularized vacuum expectation values
• Sparse grids
• High-dimensional integration: The quasi-Monte Carlo way

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