Spectral properties of the non-hermitian Wilson-Dirac operator in the Schroedinger functional

Details Spectral properties of the non-hermitian Wilson-Dirac operator in the Schroedinger functional Spectral properties of the non-hermitian Wilson-Dirac operator in the Schroedinger functional

2007-09-28

arxiv.org/abs/0709.4648v1

PoSLAT2007:046,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 5 figures, 2 tables, poster presented at Lattice 2007, Regensburg, Germany

Scientific paper

We report on some preparatory investigations for the simulation of the QCD Schroedinger functional with a non-hermitian polynomial hybrid Monte Carlo algorithm. The complex spectrum of the non-hermitean 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.

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