Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
Akemann G, Damgaard PH, Splittorff K, Verbaarschot JJM (2011)
Phys. Rev. D 83(8): 85014.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Akemann, GernotUniBi;
Damgaard, P. H.;
Splittorff, K.;
Verbaarschot, J. J. M.
Einrichtung
Abstract / Bemerkung
We consider the effect of discretization errors on the microscopic spectrumof the Wilson Dirac operator using both chiral Perturbation Theory and chiralRandom Matrix Theory. A graded chiral Lagrangian is used to evaluate themicroscopic spectral density of the Hermitian Wilson Dirac operator as well asthe distribution of the chirality over the real eigenvalues of the Wilson Diracoperator. It is shown that a chiral Random Matrix Theory for the Wilson Diracoperator reproduces the leading zero-momentum terms of Wilson chiralPerturbation Theory. All results are obtained for fixed index of the WilsonDirac operator. The low-energy constants of Wilson chiral Perturbation theoryare shown to be constrained by the Hermiticity properties of the Wilson Diracoperator.
Erscheinungsjahr
2011
Zeitschriftentitel
Phys. Rev. D
Band
83
Ausgabe
8
Art.-Nr.
85014
ISSN
1550-7998
eISSN
1550-2368
Page URI
https://pub.uni-bielefeld.de/record/1978527
Zitieren
Akemann G, Damgaard PH, Splittorff K, Verbaarschot JJM. Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings. Phys. Rev. D. 2011;83(8): 85014.
Akemann, G., Damgaard, P. H., Splittorff, K., & Verbaarschot, J. J. M. (2011). Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings. Phys. Rev. D, 83(8), 85014. https://doi.org/10.1103/PhysRevD.83.085014
Akemann, Gernot, Damgaard, P. H., Splittorff, K., and Verbaarschot, J. J. M. 2011. “Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings”. Phys. Rev. D 83 (8): 85014.
Akemann, G., Damgaard, P. H., Splittorff, K., and Verbaarschot, J. J. M. (2011). Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings. Phys. Rev. D 83:85014.
Akemann, G., et al., 2011. Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings. Phys. Rev. D, 83(8): 85014.
G. Akemann, et al., “Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings”, Phys. Rev. D, vol. 83, 2011, : 85014.
Akemann, G., Damgaard, P.H., Splittorff, K., Verbaarschot, J.J.M.: Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings. Phys. Rev. D. 83, : 85014 (2011).
Akemann, Gernot, Damgaard, P. H., Splittorff, K., and Verbaarschot, J. J. M. “Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings”. Phys. Rev. D 83.8 (2011): 85014.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Quellen
arXiv: 1012.0752
Inspire: 879427
Suchen in