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A new fermion Hamiltonian for lattice gauge theory
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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.
Forward citations
Cited by 3 Pith papers
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Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry
A tunable family of Ginsparg-Wilson Hamiltonians is constructed in which the chiral charge becomes progressively more quantized as k increases, though locality degrades.
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Minimal-doubling lattice fermion Hamiltonians yield single-Weyl phases when supplemented by a species-splitting mass term, but one-parameter symmetry-preserving deformations introduce additional Weyl nodes above a cri...
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Lattice Chiral Fermion without Hermiticity
A review of lattice fermion formulations, centered on a non-Hermitian one-sided-difference approach that avoids doublers while preserving chiral symmetry, plus surveys of Wilson, overlap, topological charge, and Monte...
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