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A new approach to Ginsparg-Wilson fermions

High Energy Physics - Lattice 2009-10-31 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

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.

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Cite

@article{arxiv.hep-lat/0003005,
  title  = {A new approach to Ginsparg-Wilson fermions},
  author = {Christof Gattringer},
  journal= {arXiv preprint arXiv:hep-lat/0003005},
  year   = {2009}
}

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4 pages