SU(2)-flavor Schwinger model on the lattice

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Abstract

Hamiltonian lattice perturbation methods are used to study the (1 + 1)-dimensional, SU(2)-flavor Abelian gauge model. For a model with coupling constant g and fermion mass m, two distinct vacuum regions characterized by the magnitude of mg are found. Expansions about the Ising-type vacuum corresponding to large mg are carried out to order 1g8a8 (a=lattice spacing) and improved using Padé approximants. The results compare favorably qualitatively and quantitatively with recent studies of the weak-coupling limit of the continuum theory. Expansions to order 1g4a4 about the Heisenberg antiferromagnetlike vacuum corresponding to small mg agree qualitatively with known results for the strong-coupling limit of the continuum theory.

Original languageEnglish (US)
Pages (from-to)1782-1790
Number of pages9
JournalPhysical Review D
Volume16
Issue number6
DOIs
StatePublished - Jan 1 1977
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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