A better conditioned Domain Wall Operator

TL;DR

This paper introduces a modified Domain Wall operator with an adjustable parameter alpha, improving the conditioning and solver speed without affecting the 4D propagator, leading to potential computational efficiency gains.

Contribution

A novel variation of the Domain Wall operator with a tunable parameter alpha that enhances solver performance while maintaining the same 4D propagator as the conventional operator.

Findings

Conditioning depends on alpha

Tuning alpha yields ~20% speed-up in solvers

Operator agrees with conventional version at alpha=1

Abstract

A variation of the Domain Wall operator with an additional parameter alpha will be introduced. The conditioning of the new Domain Wall operator depends on alpha, whereas the corresponding 4D propagator does not. The new and the conventional Domain Wall operator agree for alpha = 1. By tuning alpha, speed ups of the linear system solvers of around 20% could be achieved.