Algebraic Bethe Ansatz scheme for relativistic integrable field theories in continuum
The linear problem associated with the Lax operator of the classical sine-Gordon theory can be recast into the monodromy matrix form that can be extended to quantum theory as well. Product of the quantum monodromy matrices has contributions from the singularities arising out of the operator product expansions of sine-Gordon field. This enables one to find the star-triangle relations. This is a generalization of the method used by Thacker for the non-relativistic nonlinear Schrodinger field theory. In the infinite volume limit, it leads to an unambiguous description of the algebra involving the scattering data operators. Starting from a vacuum the module of physical states are constructed by the application of chains of the scattering operators and they turn out to have definite eigenvalues of energy and momentum.
- Research Organization:
- Saha Inst. of Nuclear Physics, Calcutta (India)
- OSTI ID:
- 5725138
- Journal Information:
- Int. J. Mod. Phys. A; (United States), Vol. 4:3
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EINSTEIN-SCHROEDINGER THEORY
LAX THEOREM
QUANTUM FIELD THEORY
SINE-GORDON EQUATION
EIGENVALUES
FERMIONS
FIELD ALGEBRA
MASS SPECTRA
NONLINEAR PROBLEMS
QUANTUM MECHANICS
S MATRIX
SCATTERING
WIGNER THEORY
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
MATRICES
MECHANICS
SPECTRA
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics