A new fermion Hamiltonian for lattice gauge theory

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Lattice2001(chiral), 3 pages, 4 figures

Scientific paper

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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