The overlap operator as a continued fraction

Details The overlap operator as a continued fraction The overlap operator as a continued fraction

2001-10-12

arxiv.org/abs/hep-lat/0110070v1

Nucl.Phys.Proc.Suppl. 106 (2002) 757-759

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 1 figure, talk presented by U. Wenger at Lattice2001(chiral)

Scientific paper

We use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space method where nested conjugate gradient procedures are avoided. We show that the five dimensional linear system can be made well conditioned using equivalence transformations on the continued fractions. This is of significant importance when dynamical overlap fermions are simulated.

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