Fermionic bilinear charge algebra

ID: fermionic-bilinear-charge-algebra

For constant internal matrices acting on Dirac fields, the equal-time canonical anticommutation relations give
with the corresponding spatial delta functions for fields. The quartic terms cancel after fermion reordering. Integrating proves the displayed algebra for well-defined global Noether charges, with normal ordering and a regulator that preserves the nonanomalous internal symmetry. Orthogonal chiral projectors make the left/right mixed commutators zero. This reduces current-charge closure to a finite matrix calculation.

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