A new fermion Hamiltonian for lattice gauge theory

Herbert Neuberger (Rutgers); Ivan Horv\'ath (Kentucky); Michael Creutz (Brookhaven)

arxiv: hep-lat/0110009 · v1 · submitted 2001-10-04 · ✦ hep-lat

A new fermion Hamiltonian for lattice gauge theory

Michael Creutz (Brookhaven) , Ivan Horv\'ath (Kentucky) , Herbert Neuberger (Rutgers) This is my paper

classification ✦ hep-lat

keywords chiralchargefermiongaugehamiltonianlatticetheoryanomalies

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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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