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Spectral properties of the non-hermitean Wilson operator in the Schroedinger functional

Presenter: Oliver Witzel — Humboldt Universitaet

Shinji Takeda, Oliver Witzel, Ulli Wolff

We report on some preparatory investigations for the simulation of the QCD Schroedinger functional with a non-hermitean polynomial hybrid Monte Carlo algorithm. The complex spectrum of the free operator with SF boundary condititons is computed semianalytically. Then it is shown how one can obtain relevant information on the boundary of the spectral domain also in the presence of nontrivial gaugefields by monitoring the behavior of polynomials in the Wilson operator applied on random vectors.