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Chiral anomalies and Wilson fermions

Creutz, Michael [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000331941738)
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Abstract

The Wilson formulation of fermions in lattice gauge theory provides a unified description of the chiral anomalies in the standard model. The discrete Dirac operator diagonalizes into a series of 2 × 2 blocks. In each block the possible eigenvalues either form a complex pair or separate into two real eigenvalues that have specific chirality. The collision of these pairs of eigenvalues occurs outside the perturbative region and provides a path between topological sectors.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSElectroweak symmetry breakingLattice field theoryQuantum chromodynamics

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Creutz, Michael [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000331941738). 2026-04-21. Chiral anomalies and Wilson fermions. https://doi.org/10.1103/pbpl-5wdb

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