Non-perturbative renormalization of the axial current in Nf = 3 lattice QCD with Wilson fermions and tree-level improved gauge action
Abstract
We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with Nf=3 flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization condition is derived from the massive axial Ward identity and it is imposed among Schr\"odinger functional states with large overlap on the lowest lying hadronic state in the pseudoscalar channel, in order to reduce kinematically enhanced cutoff effects. We explore a range of couplings relevant for simulations at lattice spacings of ≈ 0.09 fm and below. An interpolation formula for ZA(g02), smoothly connecting the non-perturbative values to the 1-loop expression, is provided together with our final results.
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