15–17 Aug 2022
Landhaus Nordhelle
Europe/Zurich timezone

Disconnected Diagrams and High-Degree GMRES Polynomials

15 Aug 2022, 10:40
40m
Landhaus Nordhelle

Landhaus Nordhelle

Zum Koppenkopf 3, 58540 Meinerzhagen, Germany

Speaker

Walter Wilcox

Description

We build upon our lattice QCD POLY and HFPOLY methods by using high-degree polynomials in the context of noisy disconnected diagram evaluations. Using a new, stable form of the GMRES polynomial, we obtained a subtracted error reduction in the Wilson-Dirac scalar operator on the order of a tenth the error of the non-subtracted measurement. The associated trace of subtracted high-degree polynomials can be evaluated stochastically through a multilevel polynomial cascade method using deflation as well as a new and efficient double-polynomial construction. For demonstration purposes, our methods were tested at kappacrit in the quenched approximation.

Author

Co-authors

Dr Ronald Morgan (Baylor University) Mr Paul Lashomb (Baylor University) Dr Travis Whyte (College of William and Mary)

Presentation materials