Lattice QCD with Ginsparg-Wilson fermions

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Abstract
We show that the formulation of lattice QCD using fermions whose Dirac operator obeys the Ginsparg-Wilson relation, reproduces all the low energy QCD phenomenology associated with chiral symmetry at finite lattice spacings. In particular it explains the origin of massless pions due to spontaneous chiral symmetry breaking in a simple way, while leading to new insights on the U(1) problem. It is no longer necessary to invoke the continuum limit to discuss many of the soft pion theorems. Quenched singularities appear naturally in this formulation. This is perhaps the best known formulation of non-perturbative QCD with a finite cutoff.

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