Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Revised version; 13 pages (LaTeX), 3 figures (EPS)

Scientific paper

10.1016/S0370-2693(98)01343-4

We perform a comparison between different lattice regularizations of the Dirac operator for massless fermions in the framework of the single and two flavor Schwinger model. We consider a) the Wilson-Dirac operator at the critical value of the hopping parameter; b) Neuberger's overlap operator; c) the fixed point operator. We test chiral properties of the spectrum, dispersion relations and rotational invariance of the mesonic bound state propagators.

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