Spectrum of the Wilson Dirac operator at finite lattice spacings

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Spectrum of the Wilson Dirac operator at finite lattice spacings. / Akemann, G.; Damgaard, Poul Henrik; Splittorff, Kim; Verbaarschot, J.J.M.

In: Physical Review D (Particles, Fields, Gravitation and Cosmology), Vol. 83, No. 8, 12.04.2011, p. 085014.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Akemann, G, Damgaard, PH, Splittorff, K & Verbaarschot, JJM 2011, 'Spectrum of the Wilson Dirac operator at finite lattice spacings', Physical Review D (Particles, Fields, Gravitation and Cosmology), vol. 83, no. 8, pp. 085014. https://doi.org/10.1103/PhysRevD.83.085014

APA

Akemann, G., Damgaard, P. H., Splittorff, K., & Verbaarschot, J. J. M. (2011). Spectrum of the Wilson Dirac operator at finite lattice spacings. Physical Review D (Particles, Fields, Gravitation and Cosmology), 83(8), 085014. https://doi.org/10.1103/PhysRevD.83.085014

Vancouver

Akemann G, Damgaard PH, Splittorff K, Verbaarschot JJM. Spectrum of the Wilson Dirac operator at finite lattice spacings. Physical Review D (Particles, Fields, Gravitation and Cosmology). 2011 Apr 12;83(8):085014. https://doi.org/10.1103/PhysRevD.83.085014

Author

Akemann, G. ; Damgaard, Poul Henrik ; Splittorff, Kim ; Verbaarschot, J.J.M. / Spectrum of the Wilson Dirac operator at finite lattice spacings. In: Physical Review D (Particles, Fields, Gravitation and Cosmology). 2011 ; Vol. 83, No. 8. pp. 085014.

Bibtex

@article{e9f29c2a3c154fdfa01150f467294858,
title = "Spectrum of the Wilson Dirac operator at finite lattice spacings",
abstract = "We consider the effect of discretization errors on the microscopic spectrum of the Wilson Dirac operator using both chiral Perturbation Theory and chiral Random Matrix Theory. A graded chiral Lagrangian is used to evaluate the microscopic spectral density of the Hermitian Wilson Dirac operator as well as the distribution of the chirality over the real eigenvalues of the Wilson Dirac operator. It is shown that a chiral Random Matrix Theory for the Wilson Dirac operator reproduces the leading zero-momentum terms of Wilson chiral Perturbation Theory. All results are obtained for fixed index of the Wilson Dirac operator. The low-energy constants of Wilson chiral Perturbation theory are shown to be constrained by the Hermiticity properties of the Wilson Dirac operator. ",
author = "G. Akemann and Damgaard, {Poul Henrik} and Kim Splittorff and J.J.M. Verbaarschot",
year = "2011",
month = apr,
day = "12",
doi = "10.1103/PhysRevD.83.085014",
language = "English",
volume = "83",
pages = "085014",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "8",

}

RIS

TY - JOUR

T1 - Spectrum of the Wilson Dirac operator at finite lattice spacings

AU - Akemann, G.

AU - Damgaard, Poul Henrik

AU - Splittorff, Kim

AU - Verbaarschot, J.J.M.

PY - 2011/4/12

Y1 - 2011/4/12

N2 - We consider the effect of discretization errors on the microscopic spectrum of the Wilson Dirac operator using both chiral Perturbation Theory and chiral Random Matrix Theory. A graded chiral Lagrangian is used to evaluate the microscopic spectral density of the Hermitian Wilson Dirac operator as well as the distribution of the chirality over the real eigenvalues of the Wilson Dirac operator. It is shown that a chiral Random Matrix Theory for the Wilson Dirac operator reproduces the leading zero-momentum terms of Wilson chiral Perturbation Theory. All results are obtained for fixed index of the Wilson Dirac operator. The low-energy constants of Wilson chiral Perturbation theory are shown to be constrained by the Hermiticity properties of the Wilson Dirac operator.

AB - We consider the effect of discretization errors on the microscopic spectrum of the Wilson Dirac operator using both chiral Perturbation Theory and chiral Random Matrix Theory. A graded chiral Lagrangian is used to evaluate the microscopic spectral density of the Hermitian Wilson Dirac operator as well as the distribution of the chirality over the real eigenvalues of the Wilson Dirac operator. It is shown that a chiral Random Matrix Theory for the Wilson Dirac operator reproduces the leading zero-momentum terms of Wilson chiral Perturbation Theory. All results are obtained for fixed index of the Wilson Dirac operator. The low-energy constants of Wilson chiral Perturbation theory are shown to be constrained by the Hermiticity properties of the Wilson Dirac operator.

U2 - 10.1103/PhysRevD.83.085014

DO - 10.1103/PhysRevD.83.085014

M3 - Journal article

VL - 83

SP - 085014

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 8

ER -

ID: 32954128