Weyl fermions on the lattice and the non-abelian gauge anomaly

DOI10.1016/S0550-3213(99)00731-2zbMath0951.81075arXivhep-lat/9904009MaRDI QIDQ1572483

Martin Lüscher

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/9904009

zbMATH Keywords

chiral gauge theoriesGinsparg-Wilson relationlocal and global anomaliesnon-abelian gauge anomaly

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Anomalies in quantum field theory (81T50) Topological field theories in quantum mechanics (81T45)

Related Items (24)

Lattice perturbation theory ⋮ Topological lattice actions ⋮ Lattice chirality and the decoupling of mirror fermions ⋮ Non-positive fermion determinants in lattice supersymmetry ⋮ CP breaking in lattice chiral gauge theory ⋮ More chiral lattice fermions ⋮ General chiral gauge theories on the lattice ⋮ A renormalisation group derivation of the overlap formulation ⋮ Exploring topology conserving gauge actions for lattice QCD ⋮ Erratum to: ``Vortex fermion on the lattice ⋮ Instanton liquid properties from lattice QCD ⋮ Anomalies, gauge field topology, and the lattice ⋮ Gauge fixing, families index theory, and topological features of the space of lattice gauge fields ⋮ Algebraic generalization of the Ginsparg-Wilson relation. ⋮ A CPT anomaly ⋮ Axial anomaly and topological charge in lattice gauge theory with overlap Dirac operator ⋮ On Witten's global anomaly for higher SU(2) representations ⋮ Families index theory for Overlap lattice Dirac operator. I ⋮ Ginsparg-Wilson formulation of 2D \({\mathcal N}=(2,2)\) SQCD with exact lattice supersymmetry ⋮ Gauge anomaly cancellations in SU(2)\(_L\times\) U(1)\(_Y\) electroweak theory on the lattice ⋮ More chiral operators on the lattice ⋮ Analytic progress on exact lattice chiral symmetry ⋮ Families index theory, gauge fixing, and topology of the space of lattice gauge fields: a summary ⋮ CPT anomaly: A rigorous result in four dimensions

Cites Work

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• Global anomalies in chiral lattice gauge theory
• Axial anomaly and topological charge in lattice gauge theory with overlap Dirac operator
• Lattice gauge fields, principal bundles and the calculation of topological charge
• Topology and the axial anomaly in abelian lattice gauge theories
• A continuum limit of the chiral Jacobian in lattice gauge theory
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Locality properties of Neuberger's lattice Dirac operator
• The chiral determinant and the eta invariant
• Topology of lattice gauge fields
• The computation of characteristic classes of lattice gauge fields
• Exact chiral symmetry, topological charge and related topics

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