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Weyl fermions on the lattice and the non-abelian gauge anomaly
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Weyl fermions on the lattice and the non-abelian gauge anomaly
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Starting from the Ginsparg-Wilson relation, a general construction of chiral gauge theories on the lattice is described. Local and global anomalies are easily discussed in this framework and a closed expression for the effective action can be obtained. Particular attention is paid to the non-abelian gauge anomaly, which is shown to be related to a local topological field on the lattice representing the Chern character in 4+2 dimensions.
Forward citations
Cited by 4 Pith papers
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Bosonization versus the Nielsen-Ninomiya theorem
In the 2D modified Villain model, bosonized chiral lattice fermion operators yield a doubler-free but non-local reconstructed Dirac operator, consistent with Nielsen-Ninomiya, while the microscopic theory remains ultr...
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Bosonization versus the Nielsen-Ninomiya theorem
The 2D modified Villain model's Weyl operators reproduce free Dirac correlations in the continuum, and their no-doubler Dirac kernel is non-local, showing exactly how bosonization evades the Nielsen-Ninomiya theorem.
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Domain wall fermions
Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.
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Domain wall fermions
Domain wall fermions recover exact chiral symmetry in the infinite fifth dimension limit and produce an effective four-dimensional operator satisfying the Ginsparg-Wilson relation.
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