New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d

Details New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d

2000-02-01

arxiv.org/abs/hep-lat/0002002v2

Phys.Lett. B480 (2000) 112-118

Physics

High Energy Physics

High Energy Physics - Lattice

Revised version (to appear in Physics Letters B); references added and regrouped; new comment on finite size effects

Scientific paper

10.1016/S0370-2693(00)00377-4

A new method for finding approximate solutions of the Ginsparg-Wilson
equation is tested in 2-d. The Dirac operator is first constructed and then
used in a dynamical simulation of the 2-flavor Schwinger model. We find a very
small mass of the pi-particle implying almost chirally symmetric fermions. The
generalization of our method to 4-d is straightforward.

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