An alternative to domain wall fermions

Details An alternative to domain wall fermions An alternative to domain wall fermions

2000-05-08

arxiv.org/abs/hep-lat/0005004v2

Phys.Rev. D62 (2000) 074504

Physics

High Energy Physics

High Energy Physics - Lattice

Revtex Latex, 26 pages, 1 figure, a few minor changes

Scientific paper

10.1103/PhysRevD.62.074504

We define a sparse hermitian lattice Dirac matrix, $H$, coupling $2n+1$ Dirac fermions. When $2n$ fermions are integrated out the induced action for the last fermion is a rational approximation to the hermitian overlap Dirac operator. We provide rigorous bounds on the condition number of $H$ and compare them to bounds for the higher dimensional Dirac operator of domain wall fermions. Our main conclusion is that overlap fermions should be taken seriously as a practical alternative to domain wall fermions in the context of numerical QCD.

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