A new approach to Ginsparg-Wilson fermions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages

Scientific paper

10.1103/PhysRevD.63.114501

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.

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