On improvement of the axial-vector current with stabilised Wilson fermions

2022/12/21 by Patrick Fritzsch, Fritzsch, Patrick, Jochen Heitger +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2212.11063

openalex publication_date 2022/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on the determination of the improvement coefficient c_{\rm A} for the non-singlet axial-vector current A^a_μ(x) in the framework of stabilised Wilson-Clover fermions within three flavour lattice QCD. This is done by requiring the PCAC relation to hold for two different pseudo-scalar states. To generate these states, wavefunctions altering spatial structures on the boundaries of a Schrödinger functional lattice are employed and some variations of the (previously applied) wavefunction method are explored. The improvement coefficient is determined on a few ensembles for a range of gauge couplings that is potentially useful for future applications. Preliminary results on the renormalisation constants Z_{\rm V} for the vector current and Z_{\rm A} for the axial-vector current are also presented.

Related

• Improving the lattice axial vector current
• Non-singlet vector current in lattice QCD: O(a)-improvement from large volumes
• Partially conserved axial vector current and applications
• Non-perturbative determination of improvement b-coefficients in N_f=3
• Non-perturbative renormalization of vector and axial vector currents in quenched QCD for a renormalization group improved gauge action