Investigating a Renormalization Group Multigrid Approach for Domain Wall Fermions

29 Jul 2021, 22:30
15m
Oral presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms (including Machine Learning, Quantum Computing, Tensor Networks)

Speaker

Robert Mawhinney (Columbia University)

Description

Previous work has shown that renormalization group blocking of a
2+1 flavor DWF ensemble with 1/a = 2 GeV can produce an ensemble
with 1/a = 1 GeV, with physical quantities on the blocked 1 GeV
ensemble within a few percent of their values on an independently
generated 1 GeV ensemble. This has led us to investigate using the
blocked ensemble DWF operator as a coarse-grid operator for a
multigrid DWF solver. We find that the low-mode space of the
coarse-grid operator spans the low-mode space of the original
operator quite well. However, in the simplest coarse-grid to
fine-grid interpolation step, fine-grid high modes are introduced
into a low-mode-accurate, coarse-grid solution. We have studied
various filtering schemes to reduce this contamination, with partial
success to date. We will review our overall approach and detail
our current status.

Primary author

Robert Mawhinney (Columbia University)

Presentation materials