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arxiv: hep-lat/9707022 · v3 · submitted 1997-07-17 · ✦ hep-lat

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Exactly massless quarks on the lattice

Herbert Neuberger (Rutgers)

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classification ✦ hep-lat
keywords latticemasslessquarksappealingdaggerdeterminantdoublingexactly
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It is suggested that the fermion determinant for a vector-like gauge theory with strictly massless quarks can be represented on the lattice as $\det{{1+V}\over 2}$, where $V=X(X^\dagger X)^{-1/2}$ and $X$ is the Wilson-Dirac lattice operator with a negative mass term. There is no undesired doubling and no need for any fine tuning. Several other appealing features of the formula are pointed out.

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