Observations on staggered fermions at non-zero lattice spacing

Details Observations on staggered fermions at non-zero lattice spacing Observations on staggered fermions at non-zero lattice spacing

2006-04-20

arxiv.org/abs/hep-lat/0604017v2

Phys.Rev. D73 (2006) 114511

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, two refs. and a note added

Scientific paper

10.1103/PhysRevD.73.114511

We show that the use of the fourth-root trick in lattice QCD with staggered fermions corresponds to a non-local theory at non-zero lattice spacing, but argue that the non-local behavior is likely to go away in the continuum limit. We give examples of this non-local behavior in the free theory, and for the case of a fixed topologically non-trivial background gauge field. In both special cases, the non-local behavior indeed disappears in the continuum limit. Our results invalidate a recent claim that at non-zero lattice spacing an additive mass renormalization is needed because of taste-symmetry breaking.

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