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A new fermion Hamiltonian for lattice gauge theory

Michael Creutz·Ivan Horváth·Herbert Neuberger
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Abstract

We formulate Hamiltonian vector-like lattice gauge theory using the overlap formula for the spatial fermionic part, $H_f$. We define a chiral charge, $Q_5$ which commutes with $H_f$, but not with the electric field term. There is an interesting relation between the chiral charge and the fermion energy with consequences for chiral anomalies.

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Michael Creutz, Ivan Horváth, Herbert Neuberger. 2001-10-04. A new fermion Hamiltonian for lattice gauge theory. https://arxiv.org/abs/hep-lat/0110009

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