Investigating the Sharpe-Singleton scenario on the lattice by direct eigenvalue computation
High Energy Physics - Lattice
2013-11-11 v1
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.
Cite
@article{arxiv.1311.1680,
title = {Investigating the Sharpe-Singleton scenario on the lattice by direct eigenvalue computation},
author = {Joni M. Suorsa and T. Rantalaiho and K. Rummukainen and K. Splittorff and David J. Weir},
journal= {arXiv preprint arXiv:1311.1680},
year = {2013}
}
Comments
7 pages, 4 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany