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2010

Chiral Lattice Fermions, Minimal Doubling, and the Axial Anomaly

Tiburzi, Brian C.

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Exact chiral symmetry at finite lattice spacing would preclude the axial anomaly.

In order to describe a continuum quantum field theory of Dirac fermions, lattice actions with purported exact chiral symmetry must break the flavor-singlet axial symmetry.
We demonstrate that this is indeed the case by using a minimally doubled fermion action.
For simplicity we consider the Abelian axial anomaly in two dimensions.

Chiral Lattice Fermions, Minimal Doubling, and the Axial Anomaly · Around

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