More about exactly massless quarks on the lattice

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 $D{\gamma }_{5}D=D{\gamma }_5+{\gamma }_{5}D$.

4 pages, plain TeX

Cited by in corpus (482)

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• Comparing lattice Dirac operators with Random Matrix Theory
• Lattice Chirality and its uses at large N
• Improved Overlap Fermions
• Chiral Anomaly and Index Theorem on a finite lattice
• Violation of non-Abelian Bianchi identity and QCD topology
• More chiral lattice fermions
• Monopole and instanton effects on connected and disconnected correlations for scalar density
• Low-lying Dirac eigenmodes and monopoles in 3+1D compact QED
• Locality and Efficient Evaluation of Lattice Composite Fields: Overlap-Based Gauge Operators
• Dirac operator normality and chiral properties
• Chiral symmetry in lattice QCD
• A Simulation of the 't Hooft Model at finite N_c with the Overlap Dirac Operator
• Distribution of the Dirac modes in QCD
• Symmetry and Symmetry Restoration of Lattice Chiral Fermion in the Overlap Formalism
• Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions