Leutwyler-Smilga sum rules for Ginsparg-Wilson lattice fermions

Details Leutwyler-Smilga sum rules for Ginsparg-Wilson lattice fermions Leutwyler-Smilga sum rules for Ginsparg-Wilson lattice fermions

1999-02-23

arxiv.org/abs/hep-lat/9902029v2

Physics

High Energy Physics

High Energy Physics - Lattice

Revised version; essential reference added and other minor changes; 9 pages, no figures

Scientific paper

We argue that lattice QCD with Ginsparg-Wilson fermions satisfies the Leutwyler-Smilga sum rules for the eigenvalues of the chiral Dirac operator. The result is obtained in the one flavor case, by rephrasing Leutwyler and Smilga's original analysis for the finite volume partition function. This is a further evidence that Ginsparg-Wilson fermions, even if breaking explicitly the chirality on the lattice in accordance to the Nielsen-Ninomiya theorem, mimic the main features of the continuum theory related to chiral symmetry.

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