New approach to Ginsparg-Wilson fermions

Christof Gattringer
Phys. Rev. D 63, 114501 – Published 25 April 2001
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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 us to find Dirac operators which obey the Ginpsparg-Wilson equation with arbitrary precision.

  • Received 14 March 2000

DOI:https://doi.org/10.1103/PhysRevD.63.114501

©2001 American Physical Society

Authors & Affiliations

Christof Gattringer

  • Massachusetts Institute of Technology, Center for Theoretical Physics, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139

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Issue

Vol. 63, Iss. 11 — 1 June 2001

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