Index of a family of lattice Dirac operators and its relation to the non-Abelian anomaly on the lattice

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dc.contributor.authorAdams, David Henryen
dc.contributor.organisationSpecial Research Centre for the Subatomic Structure of Matteren
dc.contributor.schoolSchool of Chemistry and Physics : Physics and Mathematical Physicsen
dc.date.issued2001en
dc.description.abstractIn the continuum, a topological obstruction to the vanishing of the non-Abelian anomaly in 2n dimensions is given by the index of a certain Dirac operator in 2n+2 dimensions, or equivalently, the index of a 2-parameter family of Dirac operators in 2n dimensions. In this paper an analogous result is derived for chiral fermions on the lattice in the overlap formulation. This involves deriving an index theorem for a family of lattice Dirac operators satisfying the Ginsparg-Wilson relation. The index density is proportional to Lüscher's topological field in 2n+2 dimensions.en
dc.description.statementofresponsibilityDavid H. Adamsen
dc.identifier.citationPhysical Review Letters, 2001; 86(2):200-203en
dc.identifier.doi10.1103/PhysRevLett.86.200en
dc.identifier.issn0031-9007en
dc.identifier.urihttp://hdl.handle.net/2440/11200
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rights©2001 American Physical Societyen
dc.titleIndex of a family of lattice Dirac operators and its relation to the non-Abelian anomaly on the latticeen
dc.typeJournal articleen

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