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We study the lattice spacing dependence, or scaling, of physical quantitiesusing the highly improved staggered quark (HISQ) action introduced by theHPQCD/UKQCD collaboration, comparing our results to similar simulations withthe asqtad fermion action. Results are based on calculations with latticespacings approximately 0.15, 0.12 and 0.09 fm, using four flavors of dynamicalHISQ quarks. The strange and charm quark masses are near their physical values,and the light-quark mass is set to 0.2 times the strange-quark mass. We look atthe lattice spacing dependence of hadron masses, pseudoscalar meson decayconstants, and the topological susceptibility. In addition to the commonly useddetermination of the lattice spacing through the static quark potential, weexamine a determination proposed by the HPQCD collaboration that uses the decayconstant of a fictitious "unmixed s bar s" pseudoscalar meson. We find that thelattice artifacts in the HISQ simulations are much smaller than those in theasqtad simulations at the same lattice spacings and quark masses.

Scaling studies of QCD with the dynamical HISQ action