Universal distributions from non-Hermitian perturbation of zero modes

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Universal distributions from non-Hermitian perturbation of zero modes. / Kieburg, M.; Mielke, A.; Rud, M.; Splittorff, K.

I: Physical Review E, Bind 101, Nr. 3, 032117, 13.03.2020.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Kieburg, M, Mielke, A, Rud, M & Splittorff, K 2020, 'Universal distributions from non-Hermitian perturbation of zero modes', Physical Review E, bind 101, nr. 3, 032117. https://doi.org/10.1103/PhysRevE.101.032117

APA

Kieburg, M., Mielke, A., Rud, M., & Splittorff, K. (2020). Universal distributions from non-Hermitian perturbation of zero modes. Physical Review E, 101(3), [032117]. https://doi.org/10.1103/PhysRevE.101.032117

Vancouver

Kieburg M, Mielke A, Rud M, Splittorff K. Universal distributions from non-Hermitian perturbation of zero modes. Physical Review E. 2020 mar. 13;101(3). 032117. https://doi.org/10.1103/PhysRevE.101.032117

Author

Kieburg, M. ; Mielke, A. ; Rud, M. ; Splittorff, K. / Universal distributions from non-Hermitian perturbation of zero modes. I: Physical Review E. 2020 ; Bind 101, Nr. 3.

Bibtex

@article{90d563e3424948d3b5d5e221e5ec65d6,
title = "Universal distributions from non-Hermitian perturbation of zero modes",
abstract = "Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class of the perturbation determines the behavior of the modes. This distribution follows from a central limit theorem of matrices and is shown to be robust to deformations.",
keywords = "QCD DIRAC OPERATOR, RANDOM MATRICES, MAJORANA FERMIONS, DENSITY, SPECTRUM",
author = "M. Kieburg and A. Mielke and M. Rud and K. Splittorff",
year = "2020",
month = mar,
day = "13",
doi = "10.1103/PhysRevE.101.032117",
language = "English",
volume = "101",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Universal distributions from non-Hermitian perturbation of zero modes

AU - Kieburg, M.

AU - Mielke, A.

AU - Rud, M.

AU - Splittorff, K.

PY - 2020/3/13

Y1 - 2020/3/13

N2 - Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class of the perturbation determines the behavior of the modes. This distribution follows from a central limit theorem of matrices and is shown to be robust to deformations.

AB - Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class of the perturbation determines the behavior of the modes. This distribution follows from a central limit theorem of matrices and is shown to be robust to deformations.

KW - QCD DIRAC OPERATOR

KW - RANDOM MATRICES

KW - MAJORANA FERMIONS

KW - DENSITY

KW - SPECTRUM

U2 - 10.1103/PhysRevE.101.032117

DO - 10.1103/PhysRevE.101.032117

M3 - Journal article

C2 - 32289952

VL - 101

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 3

M1 - 032117

ER -

ID: 247445873