Zobrazeno 1 - 10
of 141
pro vyhledávání: '"Kieburg M"'
Publikováno v:
J. Phys. A: Math. Theor. 55 (2022) 194002
The local spectral statistics of random matrices forms distinct universality classes, strongly depending on the position in the spectrum. Surprisingly, the spacing between consecutive eigenvalues at the spectral edges has received little attention, w
Externí odkaz:
http://arxiv.org/abs/2112.12447
Publikováno v:
Phys. Rev. D 103, 014501 (2021)
A random matrix model for lattice QCD which takes into account the positive definite nature of the Wilson term is introduced. The corresponding effective theory for fixed index of the Wilson Dirac operator is derived to next to leading order. It reve
Externí odkaz:
http://arxiv.org/abs/2004.10420
Publikováno v:
Phys. Rev. E 101, 032117 (2020)
Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the average distribution of the initial zero modes of the Hermitian operators. The broadening of these zero modes is found to follow
Externí odkaz:
http://arxiv.org/abs/1911.11492
Publikováno v:
Phys. Rev. E 99, 052112 (2019)
We consider the smallest eigenvalues of perturbed Hermitian operators with zero modes, either topological or system specific. To leading order for small generic perturbation we show that the corresponding eigenvalues broaden to a Gaussian random matr
Externí odkaz:
http://arxiv.org/abs/1902.01733
Publikováno v:
WSA 2019; 23rd International ITG Workshop on Smart Antennas, Vienna, Austria, 2019, pp. 1-7; URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8727195&isnumber=8727164
Linear precoding and post-processing schemes are ubiquitous in wireless multi-input-multi-output (MIMO) settings, due to their reduced complexity with respect to optimal strategies. Despite their popularity, the performance analysis of linear MIMO re
Externí odkaz:
http://arxiv.org/abs/1901.09740
Publikováno v:
Phys. Rev. D 99, 074515 (2019)
We analyze the mass dependence of the chiral condensate for QCD at nonzero $\theta$-angle and find that in general the discontinuity of the chiral condensate is not on the support of the Dirac spectrum. To understand this behavior we decompose the sp
Externí odkaz:
http://arxiv.org/abs/1809.09773
Publikováno v:
PoS LATTICE2014, 065 (2014)
Wilson Fermions with untwisted and twisted mass are widely used in lattice simulations. Therefore one important question is whether the twist angle and the lattice spacing affect the phase diagram. We briefly report on the study of the phase diagram
Externí odkaz:
http://arxiv.org/abs/1411.2570
Publikováno v:
Phys. Rev. Lett. 113, 250201 (2014)
Rectangular real $N \times (N + \nu)$ matrices $W$ with a Gaussian distribution appear very frequently in data analysis, condensed matter physics and quantum field theory. A central question concerns the correlations encoded in the spectral statistic
Externí odkaz:
http://arxiv.org/abs/1409.0360
Autor:
Ipsen, J. R., Kieburg, M.
Publikováno v:
Phys. Rev. E 89, 032106 (2014)
We study the joint probability density of the eigenvalues of a product of rectangular real, complex or quaternion random matrices in a unified way. The random matrices are distributed according to arbitrary probability densities, whose only restricti
Externí odkaz:
http://arxiv.org/abs/1310.4154
The microscopic spectral density of the Wilson Dirac operator for two flavor lattice QCD is analyzed. The computation includes the leading order a^2 corrections of the chiral Lagrangian in the microscopic limit. The result is used to demonstrate how
Externí odkaz:
http://arxiv.org/abs/1202.0620