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arxiv: 1302.5595 · v1 · pith:F47KPQL6new · submitted 2013-02-22 · ✦ hep-lat

Corrections to the Banks-Casher relation with Wilson quarks

classification ✦ hep-lat
keywords correctionsfiniterelationbanks-casherchirallatticequarksvalue
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The Banks-Casher relation links the spectral density of the Dirac operator with the existence of a chiral condensate and spontaneous breaking of chiral symmetry. This relation receives corrections from a finite value of the quark mass, a finite space-time volume and, if evaluated on a discrete lattice, from the finite value of the lattice spacing a. We present a status report of a determination of these corrections for Wilson quarks.

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