A new approach to Ginsparg-Wilson fermions

Abstract

We expand the most general lattice Dirac operator D in a basis of simple operators. The Ginsparg-Wilson equation turns into a system of coupled quadratic equations for the expansion coefficients. Our expansion of D allows for a natural cutoff and the remaining quadratic equations can be solved numerically. The procedure allows to find Dirac operators which obey the Ginpsparg-Wilson equation with arbitrary precision.

4 pages

References in corpus (4)

• Approximate Ginsparg-Wilson fermions: A first test
• Chiral fermions on the lattice
• New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d
• Chiral gauge theories on the lattice with exact gauge invariance

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