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Double poles in Lattice QCD with mixed actions

2005/09/30 by Maarten Golterman, Taku Izubuchi, Yigal Shamir
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Diagonal #Fermion #Geometry #Goldstone #Lattice (music) #Lattice QCD #Mathematical physics #Mathematics #Meson #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Scaling #Valence (chemistry) #hep-lat

paper · pdf · doi:10.1016/j.nuclphysbps.2006.01.020

published as PoS LAT2005 (2005) 082; Nucl.Phys.Proc.Suppl. 153 (2006) 135-138 · 8 pages; combined writeup of talks given at Lattice 2005 (Dublin) and the Workshop on Computational Hadron Physics (Cyprus)

arxiv created 2005/09/30 · openalex publication_date 2006/02/10 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider effects resulting from the use of different discretizations for the valence and the sea quarks, considering Wilson and/or Ginsparg--Wilson fermions. We assume that such effects appear through scaling violations that can be studied using effective-lagrangian techniques. We show that a double pole is present in flavor-neutral Goldstone meson propagators, even if the flavor non-diagonal Goldstone mesons made out of valence or sea quark have equal masses. We then consider some observables known to be anomalously sensitive to the presence of a double pole. We find that the double-pole enhanced scaling violations may turn out to be rather small in practice.

Citations