2005/07/14 by Thomas DeGrand, Zhaofeng Liu
Chemistry · Mathematics · Physics and Astronomy · #Bilinear interpolation #Chemistry #Dirac operator #Fermion #Lattice (music) #Lattice QCD #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Quenched approximation #Renormalization #Scalar (mathematics) #hep-lat
paper · pdf · doi:10.1103/physrevd.72.054508
published as Phys.Rev. D72 (2005) 054508 · 14 pages, 13 figures
arxiv created 2005/07/14 · openalex publication_date 2005/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present nonperturbative renormalization constants of fermionic bilinears on the lattice in the quenched approximation at \ensuremathβ=6.1 using an overlap [H. Neuberger, Phys. Lett. B 417, 141 (1998)] fermion action with hypercubic (HYP)-blocked links. We consider the effects of the exact zero modes of the Dirac operator and find they are important in calculating the renormalization constants of the scalar and pseudoscalar density. The results are given in the RI' and MS schemes and compared to perturbative calculations.