Abstract

Two-dimensional fermionic field theories are defined on a diagonal lattice obtained by discretizing Minkowski space-time in light-cone coordinates. This approach leads to local second-quantized equations of motion on the lattice. The continuum limit is carefully performed, yielding the massive Thirring model whenever fermions without internal structure are considered. The exact eigenstates and eigenvalues constructed in this lattice formalism confirm the known Bethe ansatz equations of the massive Thirring model. The light-cone lattice approach brings a class of integrable fermion models within the general algebraic scheme of the quantum inverse scattering method.

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