Some new results in O(a) improved lattice QCD
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 Schr\"odinger 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 ZA and ZV.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.