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Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
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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 Schroedinger functional boundary conditions is employed at constant physics for a range of couplings relevant for simulations at lattice spacings of ~ 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.
Forward citations
Cited by 2 Pith papers
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$\mathrm{O}(a)$ improvement of the flavour singlet scalar density in a setup with Wilson fermions
A Ward identity analysis provides the first non-perturbative estimates of the O(a) improvement coefficient g_S for the flavour singlet scalar density in three-flavour QCD.
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Precision renormalisation and improvement of $N_{\rm f}=3$ lattice QCD with Wilson fermions
New non-perturbative renormalization and improvement results for currents and masses in Nf=3 O(a)-improved Wilson QCD at small a using Schrödinger functional boundary conditions and gradient flow tuning.
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