2000/10/31 by Robert D. Mawhinney
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1016/s0920-5632(01)00949-5
published as Nucl.Phys.Proc.Suppl. 94 (2001) 315-318 · 4 pages, 3 figures, Lattice 2000 (Hadronic Matrix Elements), RBC Collaboration, corrected equations 2 and 7
arxiv created 2000/10/31 · openalex publication_date 2001/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We are using domain wall fermions to study K → ππ matrix elements by measuring K → π and K → 0 matrix elements on the lattice and employing chiral perturbation theory to relate these to the desired physical result. The residual chiral symmetry breaking of domain wall fermions with a finite extent in the fifth dimension impacts these measurements. Using the Ward-Takahashi identities, we investigate residual chiral symmetry breaking effects for divergent quantities and study pathologies of the quenched approximation for small quark mass. We then discuss the ΔS = 1 operator O2, where chiral symmetry is vital for the subtraction of unphysical effects.