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Evidence of instanton effects in hadrons from the study of low eigenfunctions of the Dirac operator

1997/09/30 by T. L. Ivanenko, T.L. Ivanenko, J. W. Negele +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-lat

paper · pdf · doi:10.1016/s0920-5632(97)00815-3

published as Nucl.Phys.Proc.Suppl.63:504-506,1998 · Email to [email protected]; 3 pages, 2 eps figures; submitted to Lattice'97 (Edinburgh) Proceedings; Correction: uses espcrc2.sty, BoxedEPS macros; Note: only these comments have been revised, text is same as first submission

arxiv created 1997/09/30 · openalex publication_date 1998/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

To elucidate the role in hadron structure of quark zero modes associated with instantons, the lowest eigenfunctions of the Dirac operator have been calculated in quenched QCD, full QCD, and full QCD with cooling. Eigenmodes associated with a single instanton and an instanton-anti-instanton pair were studied to understand the role of lattice artifacts for Wilson Fermions. By truncating the spectral representation of the quark propagator, we show that the rho and pion contributions to the vector and pseudoscalar correlation functions are dominated by the zero-mode contributions.

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