Investigating the Sharpe-Singleton scenario on the lattice by direct eigenvalue computation

2013/11/07 by Joni M. Suorsa, Suorsa, Joni M., Teemu Rantalaiho +10
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.1311.1680

7 pages, 4 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany

arxiv created 2013/11/07 · openalex publication_date 2013/11/07 · arxiv updated 2013/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the phase structure of lattice QCD with dynamical Wilson fermions. Wilson chiral perturbation theory predicts that the Aoki phase and the Sharpe-Singleton scenario manifest themselves in very distinct behavior of the Wilson Dirac eigenvalue spectrum. To test this prediction we perform a direct calculation of the eigenvalues of the non-Hermitian Wilson Dirac operator in dynamical lattice simulations. Moreover, we demonstrate an unexpected quark mass dependence on the shape of the eigenvalue distribution in the positive quark mass side.

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