Scaling tests with dynamical overlap and rooted staggered fermions

Details Scaling tests with dynamical overlap and rooted staggered fermions Scaling tests with dynamical overlap and rooted staggered fermions

2004-11-17

arxiv.org/abs/hep-lat/0411022v2

Phys.Rev.D71:054501,2005

Physics

High Energy Physics

High Energy Physics - Lattice

28 pages, 20 figures containg 37 graphs. v2: 6 new references, 2 new footnotes (to match published version)

Scientific paper

10.1103/PhysRevD.71.054501

We present a scaling analysis in the 1-flavor Schwinger model with the full overlap and the rooted staggered determinant. In the latter case the chiral and continuum limit of the scalar condensate do not commute, while for overlap fermions they do. For the topological susceptibility a universal continuum limit is suggested, as is for the partition function and the Leutwyler-Smilga sum rule. In the heavy-quark force no difference is visible even at finite coupling. Finally, a direct comparison between the complete overlap and the rooted staggered determinant yields evidence that their ratio is constant up to $O(a^2)$ effects.

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