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arXiv · 1311.1680

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

Joni M. Suorsa·T. Rantalaiho·K. Rummukainen·K. Splittorff·David J. Weir
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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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Joni M. Suorsa, T. Rantalaiho, K. Rummukainen, K. Splittorff, David J. Weir. 2013-11-07. Investigating the Sharpe-Singleton scenario on the lattice by direct eigenvalue computation. https://arxiv.org/abs/1311.1680

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