Staggered fermions, zero modes, and flavor-singlet mesons

Details Staggered fermions, zero modes, and flavor-singlet mesons Staggered fermions, zero modes, and flavor-singlet mesons

2011-06-13

arxiv.org/abs/1106.2412v2

Phys.Rev.D84:054504,2011

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 21 figures, v2 clarifies a dependence and matches published version

Scientific paper

10.1103/PhysRevD.84.054504

We examine the taste structure of eigenvectors of the staggered-fermion Dirac operator. We derive a set of conditions on the eigenvectors of modes with small eigenvalues (near-zero modes), such that staggered fermions reproduce the 't Hooft vertex in the continuum limit. We also show that, assuming these conditions, the correlators of flavor-singlet mesons are free of contributions singular in $1/m$, where $m$ is the quark mass. This conclusion holds also when a single flavor of sea quark is represented by the fourth root of the staggered-fermion determinant. We then test numerically, using the HISQ action, whether these conditions hold on realistic lattice gauge fields. We find that the needed structure does indeed emerge.

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