SU(2) Flavor Schwinger Model on the Lattice

May, 1977
29 pages
Published in:
  • Phys.Rev.D 16 (1977) 1782
Report number:
  • HUTP-77/A026

Citations per year

197819892000201120222013
Abstract: (APS)
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=latticespacing) 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.
  • SYMMETRY: SU(2)
  • QUARK: FLAVOR
  • FIELD THEORETICAL MODEL: SCHWINGER
  • APPROXIMATION: LATTICE
  • GAUGE FIELD THEORY: VACUUM STATE
  • PERTURBATION THEORY
  • COUPLING CONSTANT
  • FERMION: MASS
  • MASS: FERMION
  • STATISTICAL MECHANICS: ISING