Chiral anomalies and Wilson fermions
arXiv:2510.18693 · doi:10.1103/pbpl-5wdb
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 two by two 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.
12 pages, 2 figures. Latest version corrects some errors and drops one figure