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

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 π-particle implying almost chirally symmetric fermions. The generalization of our method to 4-d is straightforward.