4 research outputs found
The M\"obius Domain Wall Fermion Algorithm
We present a review of the properties of generalized domain wall Fermions,
based on a (real) M\"obius transformation on the Wilson overlap kernel,
discussing their algorithmic efficiency, the degree of explicit chiral
violations measured by the residual mass () and the Ward-Takahashi
identities. The M\"obius class interpolates between Shamir's domain wall
operator and Bori\c{c}i's domain wall implementation of Neuberger's overlap
operator without increasing the number of Dirac applications per conjugate
gradient iteration. A new scaling parameter () reduces chiral
violations at finite fifth dimension () but yields exactly the same
overlap action in the limit . Through the use of 4d
Red/Black preconditioning and optimal tuning for the scaling , we
show that chiral symmetry violations are typically reduced by an order of
magnitude at fixed . At large we argue that the observed scaling for
for Shamir is replaced by for the
properly tuned M\"obius algorithm with Comment: 59 pages, 11 figure
The eta ' signal from partially quenched Wilson fermions
We present new results from our ongoing study of flavor singlet pseudoscalar
mesons in QCD. Our approach is based on (a) performing truncated eigenmode
expansions for the hairpin diagram and (b) incorporating the ground state
contribution for the connected meson propagator. First, we explain how the
computations can be substantially improved by even-odd preconditioning. We
extend previous results on early mass plateauing in the eta' channel of
two-flavor full QCD with degenerate sea and valence quarks to the partially
quenched situation. We find that early mass plateau formation persists in the
partially quenched situation.Comment: Lattice2002(spectrum), 3 pages, 5 figure