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The Lanczos method of Cullum and Willoughby is studied for euclidean Wilson fermions in quenched and unquenched SU(2) gauge elds on lattices of volume ranging from 4 4 to 16 4. The method is reliable even on larger lattices, but its cost for the computation of a given fraction of the spectrum grows (approximately) with the square of the lattice volume. We… (More)

- Thomas Kalkreuter, Hubert Simma
- HPCN Europe
- 1996

Effective field theories encode the predictions of a quantum field theory at low energy. The effective theory has a fairly low ultraviolet cutoff. As a result, loop corrections are small, at least if the effective action contains a term which is quadratic in the fields, and physical predictions can be read straight from the effective Lagrangean. Methods… (More)

Recently, Kalkreuter obtained complete Dirac spectra for SU(2) lattice gauge theory both for staggered fermions and for Wilson fermions. The lattice size was as large as 12. We performed a statistical analysis of these data and found that the eigenvalue correlations can be described by the Gaussian Symplectic Ensemble for staggered fermions and by the… (More)

Practical modifications of deterministic multigrid and conventional relaxation algorithms are discussed. New parameters need not be tuned but are determined by the algorithms themselves. One modification can be thought of as “updating on a last layer consisting of a single site”. It eliminates critical slowing down in computations of bosonic and fermionic… (More)

- T. Kalkreuter
- 1992

Multigrid (MG) methods for the computation of propagators of staggered fermions in non-Abelian gauge fields are discussed. MG could work in principle in arbitrarily disordered systems. The practical variational MGmethods tested so far with a “Laplacian choice” for the restriction operator are not competitive with the conjugate gradient algorithm on lattices… (More)

- M Bb Aker, T Kalkreuter, G Mack, M Speh
- 1992

We present evidence that multigrid works for wave equations in disordered systems, e.g. in the presence of gauge fields, no matter how strong the disorder, but one needs to introduce a “neural computations” point of view into large scale simulations: First, the system must learn how to do the simulations efficiently, then do the simulation (fast). The… (More)

- T Kalkreuter
- 2008

Complete spectra of the staggered Dirac operator 6 D are determined in four-dimensional SU(2) gauge elds with and without dynamical fermions. An attempt is made to relate the performance of multigrid and conjugate gradient algorithms for propagators with the distribution of the eigenvalues of 6 D.

- G Mack, T Kalkreuter, G Palma, M Speh
- 2007

EEective eld theories encode the predictions of a quantum eld theory at low energy. The eeective theory has a fairly low ultraviolet cutoo. As a result, loop corrections are small, at least if the eeective action contains a term which is quadratic in the elds, and physical predictions can be read straight from the eeective Lagrangean. Methods will be… (More)

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