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Wilson chiral perturbation theory, Wilson-Dirac operator eigenvalues and clover improvement

2013/01/14 by Poul H. Damgaard, P.H. Damgaard, Urs M. Heller +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.1301.3099

Presented at "Xth Quark Confinement and the Hadron Spectrum," October 2012, Garching, Germany. To appear as PoS (Confinement X) 077

arxiv created 2013/01/14 · openalex publication_date 2013/01/14 · arxiv updated 2013/01/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Chiral perturbation theory for eigenvalue distributions, and equivalently random matrix theory, has recently been extended to include lattice effects for Wilson fermions. We test the predictions by comparison to eigenvalue distributions of the Hermitian Wilson-Dirac operator from pure gauge (quenched) ensembles. We show that the lattice effects are diminished when using clover improvement for the Dirac operator. We demonstrate that the leading Wilson low-energy constants associated with Wilson (clover) fermions can be determined using spectral information of the respective Dirac operator at finite volume.

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