Abstract
The RBC and UKQCD Collaborations have shown that light hadron masses and meson decay constants measured on 2+1 flavor Mobius DWF ensembles generated with the Iwasaki gauge action and a dislocation suppressing determinant ratio (DSDR) term show few percent O(a2) scaling violations for ensembles with a-1 = 1 GeV. We call this combination the ID+MDWF action and this scaling implies that, to a good approximation, these ensembles lie on a renormalization group trajectory, where the form of the action is unchanged and only the bare parameters need to be tuned to stay on the trajectory. Here we investigate whether a single-step APE-like blocking kernel can reproduce this trajectory and test its accuracy via measurements of the light hadron spectrum and non-perturbative renormalization. As we report, we find close matching to the renormalization group trajectory from this simple blocking kernel.
Highlights
The RBC and UKQCD Collaborations have recently generated several 2 + 1 flavor ensembles with theID+MDWF action at three different lattice spacings and various values for the quark masses
The RBC and UKQCD Collaborations have shown that light hadron masses and meson decay constants measured on 2+1 flavor Mobius DWF ensembles generated with the Iwasaki gauge action and a dislocation suppressing determinant ratio (DSDR) term show few percent O(a2) scaling violations for ensembles with a−1 = 1 GeV
We call this combination the ID+MDWF action and this scaling implies that, to a good approximation, these ensembles lie on a renormalization group trajectory, where the form of the action is unchanged and only the bare parameters need to be tuned to stay on the trajectory
Summary
ID+MDWF action at three different lattice spacings and various values for the quark masses Global fits to these ensembles and ensembles at weaker coupling generated with the Iwasaki gauge action were performed, using fit anzätz from SU(2) chiral perturbation theory, including analytic expansions for variations in the strange quark mass around its physical value [1]. This latter topic is the subject of this report
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