Realization of the Sharpe-Singleton scenario

M. Kieburg; Kim Splittorff; J.J.M. Verbaarschot

Realization of the Sharpe-Singleton scenario

M. Kieburg, Kim Splittorff, J.J.M. Verbaarschot

Theoretical high energy, astroparticle and gravitational physics

22 Citations (Scopus)

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 γ ₅ Hermiticity on the additional low energy constants of Wilson chiral perturbation theory.

Original language	English
Journal	Physical Review D (Particles, Fields, Gravitation and Cosmology)
Volume	85
Issue number	9
Pages (from-to)	094011
Number of pages	18
ISSN	1550-7998
Publication status	Published - 10 May 2012

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http://link.aps.org/doi/10.1103/PhysRevD.85.094011

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title = "Realization of the Sharpe-Singleton scenario",

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 γ 5 Hermiticity on the additional low energy constants of Wilson chiral perturbation theory.",

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T1 - Realization of the Sharpe-Singleton scenario

AU - Kieburg, M.

AU - Splittorff, Kim

AU - Verbaarschot, J.J.M.

PY - 2012/5/10

Y1 - 2012/5/10

N2 - 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 γ 5 Hermiticity on the additional low energy constants of Wilson chiral perturbation theory.

AB - 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 γ 5 Hermiticity on the additional low energy constants of Wilson chiral perturbation theory.

M3 - Journal article

SN - 2470-0010

VL - 85

SP - 094011

JO - Physical Review D

JF - Physical Review D

IS - 9

ER -

Realization of the Sharpe-Singleton scenario

Abstract

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