%0 Generic %1 Hip2001 %A Hip, I. %A Lippert, Th. %A Neff, H. %A Schilling, K. %A Schroers, W. %D 2001 %K DiracOperator Eigenvalues Lattice LinAlg WilsonDirac %T The Consequences of Non-Normality %U http://arxiv.org/abs/hep-lat/0110155 %X The non-normality of Wilson-type lattice Dirac operators has important consequences - the application of the usual concepts from the textbook (hermitian) quantum mechanics should be reconsidered. This includes an appropriate definition of observables and the refinement of computational tools. We show that the truncated singular value expansion is the optimal approximation to the inverse operator D^-1 and we prove that due to the gamma_5-hermiticity it is equivalent to gamma_5 times the truncated eigenmode expansion of the hermitian Wilson-Dirac operator.

@misc{Hip2001, abstract = { The non-normality of Wilson-type lattice Dirac operators has important consequences - the application of the usual concepts from the textbook (hermitian) quantum mechanics should be reconsidered. This includes an appropriate definition of observables and the refinement of computational tools. We show that the truncated singular value expansion is the optimal approximation to the inverse operator D^{-1} and we prove that due to the gamma_5-hermiticity it is equivalent to gamma_5 times the truncated eigenmode expansion of the hermitian Wilson-Dirac operator. }, added-at = {2011-09-12T11:48:52.000+0200}, author = {Hip, I. and Lippert, Th. and Neff, H. and Schilling, K. and Schroers, W.}, biburl = {https://www.bibsonomy.org/bibtex/2025de9f1282bf415308f0de5733ade57/gber}, description = {The Consequences of Non-Normality}, interhash = {3cdd77896fa80f309916e280a8f4ca48}, intrahash = {025de9f1282bf415308f0de5733ade57}, keywords = {DiracOperator Eigenvalues Lattice LinAlg WilsonDirac}, note = {cite arxiv:hep-lat/0110155 Comment: Lattice2001(theorydevelop)}, timestamp = {2012-05-24T21:55:28.000+0200}, title = {The Consequences of Non-Normality}, url = {http://arxiv.org/abs/hep-lat/0110155}, year = 2001 }