Lattice Meets Lattice - Application of Lattice Cubature to Models in Lattice Gauge Theory

30 Jul 2021, 02:20
20m
Plenary presentation Invited plenary Plenary

Speaker

Frances Kuo (University of New South Wales)

Description

In this joint venture between mathematicians and physicists, we 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. A novel element of this work is the potential benefit in using a family of numerical integration methods called "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.

Co-authors: Tobias Hartung (The Cyprus Institute), Karl Jansen (DESY Zeuthen), Ian Sloan (UNSW Sydney), Hernan Leovey (AXPO Trading & Sales), Dirk Nuyens (KU leuven)

Primary author

Frances Kuo (University of New South Wales)

Presentation materials