The 38th International Symposium on Lattice Field Theory

A numerical and theoretical study of multilevel performance for two-point correlator calculations

30 Jul 2021, 06:00

15m

Oral presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms (including Machine Learning, Quantum Computing, Tensor Networks)

Speaker

Ben Kitching-Morley (University of Southampton)

Description

Multilevel techniques in lattice were introduced twenty years ago by Lüscher and Weisz as a way to overcome exponential signal-to-noise decay in lattice gauge theory. It is known that the algorithm performs well when the correlation length of the system is small, and less favourably when it is large. In this project, the transition between these regimes is studied. The 2D-Ising Model is used as a test system for calculating two-point functions across a range of correlation lengths. We go on to develop a theoretical framework that gives excellent predictions of the numerically observed performance boost.

Presentation materials

A numerical and theoretical study of multilevel performance for two-point correlator calculations

Lattice_2021_Talk.pdf