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arXiv:hep-lat/9805018·v2·High Energy Physics — Lattice

The Ginsparg-Wilson relation and local chiral random matrix theory

K. Splittorff🇩🇰 · A.D. Jackson (The Niels Bohr Institute, Copenhagen)🇩🇰

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Abstract

A chiral random matrix model with locality is constructed and examined. The Nielsen-Ninomiya no-go theorem is circumvented by the use of a generally applicable modified Dirac operator which respects the Ginsparg-Wilson relation. We observe the expected universal behaviour of the eigenvalue density in the microscopic limit.

Comments: 10 pages LaTeX one figure

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