Taste-split staggered actions: eigenvalues, chiralities and Symanzik improvement

Abstract

The eigenvalue spectra of staggered fermions with an Adams and/or Hoelbling mass term are studied. The chiralities of the eigenmodes reflect whether the chirality linked to the unflavored approximate (γ_5 \times 1) or the flavored exact (γ_5 \times ξ_5) staggered symmetry is considered, and which one of the RR, LR, RL, LL eigenmode definitions is used. In either case a sensitivity to the topological charge of the gauge background is found. We discuss how to remove the leading cut-off effects of these actions by means of a properly tuned improvement term and/or the overlap procedure. The combination of Symanzik improvement and link smearing radically improves the properties of the physical branch.

21 pages, 13 figures; v2: expanded discussion (including new section on rotational symmetry breaking), 1 fig and 1 ref added

References in corpus (6)

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• Brief Review of Saturation Physics
• Two Lectures on QCD at Short Distances: Jets and Factorization
• Topological zero modes at nonzero chemical potential
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• New conjecture on exact Dirac zero-modes of lattice fermions
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• Localized Chiral Magnetic Effect in equilibrium QCD
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• Topological properties of minimally doubled fermions in two space-time dimensions