Moebius Fermions

TL;DR

This paper introduces a new Moebius domain wall operator for fermions that generalizes existing methods, offering reduced computational effort through parameter tuning and preconditioning techniques.

Contribution

It presents a novel Moebius domain wall operator that encompasses previous formulations and improves efficiency with new preconditioning methods.

Findings

Reduces computational effort significantly.

Unifies previous domain wall fermion formulations.

Demonstrates improved efficiency through parameter tuning.

Abstract

We introduce a new domain wall operator that represents a full (real) Moebius transformation of a given non-chiral Dirac kernel. Shamir's and Borici's domain wall fermions are special cases of this new class. By tuning the parameters of the Moebius operator and by introducing a new Red/Black preconditioning, we are able to reduce the computational effort substantially.