Some new results in O(a) improved lattice QCD

1996/08/09 by M. Lüscher, Martin Lüscher, Stefan Sint +9 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/s0920-5632(96)00815-8

published as Nucl.Phys.Proc.Suppl. 53 (1997) 905-913 · Talks presented at LATTICE96(improvement), 9 LaTeX pages plus 5 postscript figures, espcrc2.sty (included)

arxiv created 1996/08/09 · openalex publication_date 1997/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

It is shown how on-shell O(a) improvement can be implemented non-perturbatively in lattice QCD with Wilson quarks. Improvement conditions are obtained by requiring the PCAC relation to hold exactly in certain matrix elements. These are derived from the QCD Schrödinger functional which enables us to simulate directly at vanishing quark masses. In the quenched approximation and for bare couplings in the range 0≤ g₀≤ 1, we determine the improved action, the improved axial current, the additive renormalization of the quark mass and the isospin current normalization constants Z_A and Z_V.

Citations

• Schrödinger representation and Casimir effect in renormalizable quantum field theory
• The Schrödinger functional — a renormalizable probe for non-abelian gauge theories

Cited by

• Maximal variance reduction for stochastic propagators with applications to the static quark spectrum