Bethe ansatz and quantum groups: The Light cone approach. 2. From RSOS(p+1) models to p restricted Sine-Gordon field theories
Feb, 199231 pages
Published in:
- Nucl.Phys.B 385 (1992) 361-391
- Published: 1992
e-Print:
- hep-th/9203065 [hep-th]
Report number:
- PAR-LPTHE-92-08,
- UPRF-92-330
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Abstract:
We solve the RSOS() models on the light--cone lattice with fixed boundary conditions by disentangling the type II representations of , at , from the full SOS spectrum obtained through Algebraic Bethe Ansatz. The rule which realizes the quantum group reduction to the RSOS states is that there must not be {\it singular} roots in the solutions of the Bethe Ansatz equations describing the states with quantum spin . By studying how this rule is active on the particle states, we are able to give a microscopic derivation of the lattice matrix of the massive kinks. The correspondence between the light--cone Six--Vertex model and the Sine--Gordon field theory implies that the continuum limit of the RSOS() model is to be identified with the restricted Sine--Gordon field theory.- lattice field theory: light cone
- quantum group: SU(2)
- thermodynamics: Bethe ansatz
- S-matrix: kink
- model: vertex
- sine-Gordon equation
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