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arxiv: 1110.5744 · v1 · pith:YYFT2HI3new · submitted 2011-10-26 · ✦ hep-th · hep-lat

Microscopic Spectral Density of the Wilson Dirac Operator for One Flavor

classification ✦ hep-th hep-lat
keywords wilsonchiralcondensatedensitydiracflavormicroscopicoperator
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We consider the effect of a non-zero lattice spacing on the low-energy effective theory of Wilson fermions with one flavor. Analytical results are given for both the chiral condensate and the microscopic spectral density of the Wilson Dirac operator. A subtle mechanism ensures that a constant chiral condensate is recovered, once the sum over sectors of fixed index is performed.

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