Bulava, J., Della Morte, M., Heitger, J., & Wittemeier, C. (2016). Nonperturbative renormalization of the axial current in N-f=3 lattice QCD with Wilson fermions and a tree-level improved gauge action. Phys. Rev. D, 93(11), 114513–7pp.
Abstract: We nonperturbatively determine the renormalization factor of the axial vector current in lattice QCD with N-f = 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 Schrodinger 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 approximate to 0.09 fm and below. An interpolation formula for Z(A)(g(0)(2)) , smoothly connecting the nonperturbative values to the 1-loop expression, is provided together with our final results.
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Bulava, J., Della Morte, M., Heitger, J., & Wittemeier, C. (2015). Non-perturbative improvement of the axial current in N-f=3 lattice QCD with Wilson fermions and tree-level improved gauge action. Nucl. Phys. B, 896, 555–568.
Abstract: The coefficient c(A) required for O(a) improvement of the axial current in lattice QCD with N-f = 3 flavors of Wilson fermions and the tree-level Symanzik-improved gauge action is determined non-perturbatively. The standard improvement condition using Schrodinger functional boundary conditions is employed at constant physics for a range of couplings relevant for simulations at lattice spacings of approximate to 0.09 fm and below. We define the improvement condition projected onto the zero topological charge sector of the theory, in order to avoid the problem of possibly insufficient tunneling between topological sectors in our simulations at the smallest bare coupling. An interpolation formula for c(A) (g(0)(2)) is provided together with our final results.
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