Mobius domain-wall fermions on gradient-flowed dynamical HISQ ensembles

Abstract

We report on salient features of a mixed lattice QCD action using valence Mobius domain-wall fermions solved on the dynamical N-f = 2 + 1 + 1 highly improved staggered quark sea- quark ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of the valence fermions are shown to be significantly improved by utilizing the gradient- flow scheme to first smear the highly improved staggered quark configurations. The greater numerical cost of the Mobius domain- wall inversions is mitigated by the highly efficient QUDA library optimized for NVIDIA GPU accelerated compute nodes. We have created an interface to this optimized QUDA solver in CHROMA. We provide tuned parameters of the action and performance of QUDA using ensembles with the lattice spacings a similar or equal to {0.15; 0.12; 0.09} fm and pion masses m(pi) similar or equal to {310; 220; 130} MeV. We have additionally generated two new ensembles with a similar to 0.12 fm and m(pi) similar to {400; 350} MeV. With a fixed flow time of t(gf) = 1 in lattice units, the residual chiral symmetry breaking of the valence fermions is kept below 10% of the light quark mass on all ensembles, m(res) less than or similar to 0.1 x m(l), with moderate values of the fifth dimension L-5 and a domain- wall height M-5 \u3c= 1.3. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolation of F-K +/-/F-pi +/- and demonstrate our results are independent of flow time and consistent with the FLAG determination of this quantity at the level of less than one standard deviation