Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory

Details Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory

1997-01-30

arxiv.org/abs/hep-lat/9701015v3

Phys.Rev. D56 (1997) 55-67

Physics

High Energy Physics

High Energy Physics - Lattice

RevTeX, 10 figures, add one more reference

Scientific paper

10.1103/PhysRevD.56.55

It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues are calculated, and extrapolated to the continuum limit by means of integrated differential approximants, which are matched onto a weak-coupling expansion. The numerical estimates are compared with exact results, and with finite-lattice results calculated for an equivalent lattice spin model with long-range interactions. Both the heavy fermion and the light fermion limits of the model are explored in some detail.

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