Realization of the Sharpe-Singleton scenario

M. Kieburg, K. Splittorff, and J. J. M. Verbaarschot
Phys. Rev. D 85, 094011 – Published 10 May 2012

Abstract

The microscopic spectral density of the Wilson Dirac operator for two-flavor lattice QCD is analyzed. The computation includes the leading order a2 corrections of the chiral Lagrangian in the microscopic limit. The result is used to demonstrate how the Sharpe-Singleton first order scenario is realized in terms of the eigenvalues of the Wilson Dirac operator. We show that the Sharpe-Singleton scenario only takes place in the theory with dynamical fermions whereas the Aoki phase can be realized in the quenched as well as the unquenched theory. Moreover, we give constraints imposed by γ5 Hermiticity on the additional low energy constants of Wilson chiral perturbation theory.

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  • Received 13 February 2012

DOI:https://doi.org/10.1103/PhysRevD.85.094011

© 2012 American Physical Society

Authors & Affiliations

M. Kieburg

  • Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA

K. Splittorff

  • Discovery Center, The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark

J. J. M. Verbaarschot

  • Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA

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Issue

Vol. 85, Iss. 9 — 1 May 2012

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