Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action

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 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.

16 pages including figures and tables, latex2e; version published in Nucl. Phys. B, small additions to the text and references added, results unchanged

References in corpus (12)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Critical slowing down and error analysis in lattice QCD simulations
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• On cutoff effects in lattice QCD from short to long distances
• Step scaling and the Yang-Mills gradient flow
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD
• The chirally rotated Schrödinger functional: theoretical expectations and perturbative tests
• Mass and Axial current renormalization in the Schrödinger functional scheme for the RG-improved gauge and the stout smeared $O(a)$-improved Wilson quark actions
• Testing universality and automatic O(a) improvement in massless lattice QCD with Wilson quarks

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