Mobius Fermions: Improved Domain Wall Chiral Fermions

Abstract

A new class of domain wall fermions is defined that interpolates between Shamir's and Boriçi's form without increasing the number of Dirac applications per CG iteration. This class represents a full (real) Möbius transformation of the Wilson kernel. Simulations on quenched Wilson lattices with $\beta =6.0$ show that the number of lattice sites ($L_s$) in the fifth dimension can be reduced by a factor of 2 or more at fixed value of chiral symmetry violations measured by the residual mass ($m_{res}$).

Comments: 3 pages, 1 figure