Model factorized S-matrix and an integrable spin-1 Heisenberg chain

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6190897

Zamolodchikov, A B; Fateev, V A

A solution of the factorization equations in dimension 3 is obtained. The solution is expressed in terms of trigonometric functions and contains one free parameter. It corresponds to a factorized S-matrix with U(1) symmetry. The solution also allows one to construct a commuting family of transfer matrices for a 19-vertex lattice statistical system and the quantum Hamiltonian of an integrable anisotropic spin-1 Heisenberg chain.

• Research Organization: L. D. Landau Institute of Theoretical Physics, USSR Academy of Sciences
• OSTI ID: 6190897
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 32:2; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CRYSTAL MODELS
FACTORIZATION
FIELD THEORIES
HAMILTONIANS
HEISENBERG MODEL
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
S MATRIX
SCATTERING AMPLITUDES
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS