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More about exactly massless quarks on the lattice
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abstract
In a previous publication [hep-lat/9707022] I showed that the fermion determinant for strictly massless quarks can be written on the lattice as $\det D$, where $D$ is a certain finite square matrix explicitly constructed from the lattice gauge fields. Here I show that $D$ obeys the Ginsparg-Wilson relation $D\gamma_5 D = D\gamma_5 +\gamma_5 D$.
Forward citations
Cited by 11 Pith papers
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Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
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A continuum nonlocal Dirac operator multiplied by an invertible zero-free entire function has exactly the same kernel and finite-momentum zero set as the ordinary Dirac operator, so fermion doubling is absent.
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