Quantum solitons and their classical relatives: Bethe Ansatz states in soliton sectors of the Sine--Gordon System

Journal Article · Thu Apr 01 04:00:00 EST 1982 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(82)90202-0· OSTI ID:5192807

Garbaczewski, P

Previously we have found that the semiclassical sine--Gordon/Thirring spectrum can be received in the absence of quantum solitons via the spin 1/2 approximation of the quantized sine--Gordon system on a lattice. Later on, we have recovered the Hilbert space of quantum soliton states for the sine--Gordon system. In the present paper we present a derivation of the Bethe Ansatz eigenstates for the generalized ice model in this soliton Hilbert space. We demonstrate that via ''Wick rotation'' of a fundamental parameter of the ice model one arrives at the Bethe Ansatz eigenstates of the quantum sine--Gordon system. The latter is a ''local transition matrix'' ancestor of the coventional sine--Gordon/Thirring model, as derived by Faddeev et al. within the quantum inverse-scattering method. Our result is essentially based on the N

• Research Organization: Physics Department, Brown University, Providence, Rhode Island 02912
• OSTI ID: 5192807
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 139:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
EIGENSTATES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
HAMILTONIANS
HILBERT SPACE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
SEMICLASSICAL APPROXIMATION
SINE-GORDON EQUATION
SOLITONS
SPACE