Ginsparg-Wilson relation with R=(a γ_5 D)^{2k}

Abstract

The Ginsparg-Wilson relation $D{\gamma }_5+{\gamma }_{5}D=2aDR{\gamma }_{5}D$ with $R=(a{\gamma }_{5}D{)}^{2k}$ is discussed. An explicit realization of D is constructed. It is shown that this sequence of topologically-proper lattice Dirac operators tend to a nonlocal operator in the limit $k\to \infty$. This suggests that the locality of a lattice Dirac operator is irrelevant to its index.

4 pages, 1 EPS figure, talk presented at Lattice'00 (Chiral Fermion)

References in corpus (3)

• Algebraic Generalization of the Ginsparg-Wilson Relation
• Some remarks on the Ginsparg-Wilson fermion
• A note on the solutions of the Ginsparg-Wilson relation

Cited by in corpus (6)

• Supersymmetry on the lattice and the Leibniz rule
• Lattice chiral symmetry, Yukawa couplings and the Majorana condition
• Lattice Chiral Symmetry and the Wess-Zumino Model
• Ginsparg-Wilson operators and a no-go theorem
• Domain wall fermion and CP symmetry breaking
• A Perturbative Study of a General Class of Lattice Dirac Operators