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

1999/04/30 by Martin Lüscher · 4 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Topological Materials and Phenomena #hep-lat #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00731-2

published as Nucl.Phys.B568:162-179,2000 · plain tex source, 24 pages, needs amssym.def, references added

arxiv created 1999/05/10 · openalex publication_date 2000/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• A method for simulating chiral fermions on the lattice
• Perturbation calculation of the axial anomaly of Ginsparg-Wilson fermion
• General solution of the consistency equation
• Global aspects of current algebra
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator
• Chiral fermions from lattice boundaries

Cited by

• New overlap construction of Weyl fermions on the lattice
• Lattice chirality and the decoupling of mirror fermions
• CPT anomaly: a rigorous result in four dimensions
• Lattice study of the massive Schwinger model with a φ term under Lüscher's “Admissibility” condition