The locality of the square-root method for improved staggered quarks

Abstract

We study the effects of improvement on the locality of square-rooted staggered Dirac operators in lattice QCD simulations. We find the localisation lengths of the improved operators (FAT7TAD and ASQTAD) to be very similar to that of the one-link operator studied by Bunk et al., being at least the Compton wavelength of the lightest particle in the theory, even in the continuum limit. We conclude that improvement has no effect. We discuss the implications of this result for the locality of the nth-rooted fermion determinant used to reduce the number of sea quark flavours, and for possible staggered valence quark formulations.

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Cited by in corpus (9)

• Finite volume effects for meson masses and decay constants
• Scaling tests with dynamical overlap and rooted staggered fermions
• Observations on staggered fermions at non-zero lattice spacing
• The Low-Lying Dirac Spectrum of Staggered Quarks
• On the fourth root prescription for dynamical staggered fermions
• Staggered fermions, zero modes, and flavor-singlet mesons
• Lattice QCD with mixed actions
• Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation
• Mass Splitting of Staggered Fermion and $SO(2D)$ Clifford Algebra