133 citations · 203 across the 12 of their papers we have counts for
12 papers
Universal correlations in spectra of the lattice QCD Dirac operator
M. A. Halasz, T. Kalkreuter, J. J. M. Verbaarschot
Recently, Kalkreuter obtained complete Dirac spectra for lattice gauge theory both for staggered fermions and for Wilson fermions. The lattice size was as large as .…
Numerical analysis of the spectrum of the Dirac operator in four-dimensional SU(2) gauge fields
Thomas Kalkreuter
Two numerical algorithms for the computation of eigenvalues of Dirac operators in lattice gauge theories are described: one is an accelerated conjugate gradient method, the other o…
Study of Cullum's and Willoughby's Lanczos method for Wilson fermions
Thomas Kalkreuter
The Lanczos method of Cullum and Willoughby is studied for euclidean Wilson fermions in quenched and unquenched SU(2) gauge fields on lattices of volume ranging from to $16^4…
An Accelerated Conjugate Gradient Algorithm to Compute Low-Lying Eigenvalues --- a Study for the Dirac Operator in SU(2) Lattice QCD
Thomas Kalkreuter, Hubert Simma
The low-lying eigenvalues of a (sparse) hermitian matrix can be computed with controlled numerical errors by a conjugate gradient (CG) method. This CG algorithm is accelerated by a…
Spectrum of the Dirac Operator and Inversion Algorithms with Dynamical Staggered Fermions
Thomas Kalkreuter
Complete spectra of the staggered Dirac operator $\Dirac$ are determined in four-dimensional gauge fields with and without dynamical fermions. An attempt is made to relate…
Multigrid Methods for Propagators in Lattice Gauge Theories
Thomas Kalkreuter
Multigrid methods were invented for the solution of discretized partial differential equations in ordered systems. The slowness of traditional algorithms is overcome by updates on…