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One loop matching coefficients for a variant overlap action and some of its simpler relatives

2002/10/16 by Thomas DeGrand · 36 citations
Mathematics · Physics and Astronomy · #Coupling constant #Discretization #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Matching (statistics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Renormalization #Renormalization group #Statistical physics #Statistics #Theoretical physics #hep-lat

paper · pdf · doi:10.1103/physrevd.67.014507

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 67(1) (American Physical Society) · 17 pages, Revtex, 11 postscript figures. COLO-HEP-485

arxiv created 2002/10/16 · openalex publication_date 2003/01/30 · arxiv updated 2016/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis on a recently proposed variant discretization of the overlap. These fermions have extended (``fat link'') gauge connections. The scale for evaluation of the running coupling constant (in the context of the Lepage-Mackenzie fixing scheme) is also given. A variety of results (for additive mass renormalization, local currents, and some nonpenguin four-fermion operators) for naive, Wilson, clover, and overlap actions are shown.

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