Chiral anomalies and Wilson fermions
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.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
High-Energy Particle Collisions Research
Topological Materials and Phenomena
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Volume
- 113
- Issue
- 7
- Publication date
- 2 March 2026
- Language
- EN