Exact conserved quantities on the cylinder II : off - critical case
نویسنده
چکیده
With the aim of exploring a massive model corresponding to the perturbation of the conformal model [1] the nonlinear integral equation for a quantum system consisting of left and right KdV equations coupled on the cylinder is derived from an integrable lattice field theory. The eigenvalues of the energy and of the transfer matrix (and of all the other local integrals of motion) are expressed in terms of the corresponding solutions of the nonlinear integral equation. The analytic and asymptotic behaviours of the transfer matrix are studied and given. PACS: 11.30-j; 02.40.-k; 03.50.-z
منابع مشابه
Exact conserved quantities on the cylinder I: conformal case.
Exact conserved quantities on the cylinder I: conformal case. Abstract The nonlinear integral equations describing the spectra of the left and right (continuous) quantum KdV equations on the cylinder are derived from integrable lattice field theories, which turn out to allow the Bethe Ansatz equations of a twisted " spin −1/2 " chain. A very useful mapping to the more common nonlin-ear integral...
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