Series expansions for the massive Schwinger model in Hamiltonian lattice theory

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 mea...

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Veröffentlicht in:Physical Review, D D, 1997-07, Vol.56 (1), p.55-67
Hauptverfasser: Hamer, C. J., Weihong, Zheng, Oitmaa, J.
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creator Hamer, C. J.
Weihong, Zheng
Oitmaa, J.
description 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 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. {copyright} {ital 1997} {ital The American Physical Society}
doi_str_mv 10.1103/PhysRevD.56.55
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subjects EIGENVALUES
FERMIONS
HAMILTONIANS
LATTICE FIELD THEORY
MASS SPECTRA
NUMERICAL ANALYSIS
PHYSICS
SERIES EXPANSION
SPIN
STRONG-COUPLING MODEL
title Series expansions for the massive Schwinger model in Hamiltonian lattice theory
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