The Consequences of Non-Normality

Details The Consequences of Non-Normality The Consequences of Non-Normality

2001-10-17

arxiv.org/abs/hep-lat/0110155v1

Nucl.Phys.Proc.Suppl. 106 (2002) 1004-1006

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(theorydevelop)

Scientific paper

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.

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