Lattice study of conformality in twelve-flavor QCD

Abstract

We study infrared conformality of the twelve-flavor QCD on the lattice. Utilizing the highly improved staggered quarks (HISQ) type action which is useful to study continuum physics, we analyze the lattice data of the mass and the decay constant of a pseudoscalar meson and the mass of a vector meson as well at several values of lattice spacing and fermion mass. Our result is consistent with the conformal hypothesis for the mass anomalous dimension ${\ensuremath{\gamma}}_{m}\ensuremath{\sim}0.4--0.5$.