The axial anomaly of Ginsparg-Wilson fermion

Abstract

The axial anomaly of Ginsparg-Wilson fermion operator $D$ is discussed in general for the operator $R$ which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomaly and the index of $D$ as well as the exact realization of the Atiyah-Singer index theorem on the lattice are determined solely by the topological characteristics of the chirally symmetric operator $D_c$ in the chiral limit $R\to 0$.

12 pages, latex, references updated, the version to appear in Phys. Lett. B

References in corpus (6)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Lattice QCD without tuning, mixing and current renormalization
• Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice
• Chiral structure of the solutions of the Ginsparg-Wilson relation

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• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• The axial anomaly in lattice QED. A universal point of view
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• Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
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• Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator
• Chiral gauge theories on the lattice with exact gauge invariance
• A note on the solutions of the Ginsparg-Wilson relation
• A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
• A construction of chiral fermion action
• A numerical solution to the local cohomology problem in U(1) chiral gauge theories
• Form and index of Ginsparg-Wilson fermions
• A generalized Ginsparg-Wilson relation
• Topologically invariant transformation for lattice fermions
• Topological Obstruction in Block-spin Transformations
• Chiral Anomaly and Index Theorem on a finite lattice