Lattice fermions with complex mass

Abstract

We present evidence in the Schwinger model that rooted staggered fermions may correctly describe the m<0 sector of a theory with an odd number of flavors. We point out that in QCD-type theories with a complex-valued quark mass every non-chiral action essentially "borrows" knowledge about the theta-transformation properties from the overlap action.

8 pages, 4 figures. v2: eqn. (20) corrected, figs. 3,4 adjusted, conclusions unchanged. v3: text improved, 2 refs. added (version to appear in PRD)

References in corpus (6)

• Exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Exact chiral symmetry, topological charge and related topics
• Scaling tests with dynamical overlap and rooted staggered fermions
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Order of the Chiral and Continuum Limits in Staggered Chiral Perturbation Theory

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