Thomas Kalkreuter

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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)
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)
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)
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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