Properties of the Fixed Point Lattice Dirac Operator in the Schwinger Model

Details Properties of the Fixed Point Lattice Dirac Operator in the Schwinger Model Properties of the Fixed Point Lattice Dirac Operator in the Schwinger Model

1998-02-10

arxiv.org/abs/hep-lat/9802009v2

Phys.Rev. D58 (1998) 054501

Physics

High Energy Physics

High Energy Physics - Lattice

38 pages, LaTeX, 3 figures, uses style [epsfig], a few comments and relevant references added

Scientific paper

10.1103/PhysRevD.58.054501

We present a numerical study of the properties of the Fixed Point lattice Dirac operator in the Schwinger model. We verify the theoretical bounds on the spectrum, the existence of exact zero modes with definite chirality, and the Index Theorem. We show by explicit computation that it is possible to find an accurate approximation to the Fixed Point Dirac operator containing only very local couplings.

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