Logarithmic corrections to O(a²) effects in lattice QCD with unrooted Staggered quarks

2025/01/28 by Husung, Nikolai · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2501.17036

Abstract

We derive the asymptotic lattice-spacing dependence a²[2b₀g²(1/a)]^γ_i relevant for spectral quantities of lattice QCD, when using unrooted Staggered quarks. Without taking any effects from matching into account we find min_iγ_i≈ -0.273, -0.301, -0.913, -2.614 for N_f=0,4,8,12 respectively. Common statements in the literature on the absence of mass-dimension~5 operators from the on-shell basis of the Symanzik Effective Field Theory action are being clarified for a description using strictly local tastes, here playing the role of continuum quark flavours. Potential impact of O(a) EOM-vanishing terms beyond spectral quantities is being discussed.

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