1997/01/31 by C. J. Hamer, Zheng Weihong, J. Oitmaa · 155 citations
Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Fermion #Hamiltonian (control theory) #Lattice (music) #Lattice field theory #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Series (stratigraphy) #Series expansion #Statistical physics #hep-lat
paper · pdf · doi:10.1103/physrevd.56.55
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 56(1), 55-67 (American Physical Society) · RevTeX, 10 figures, add one more reference
arxiv created 1997/02/04 · openalex publication_date 1997/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.