The Field Theory Limit of Integrable Lattice Models
arXiv:hep-th/9406135
Abstract
The light-cone approach is reviewed. This method allows to find the underlying quantum field theory for any integrable lattice model in its gapless regime. The relativistic spectrum and S-matrix follows straightforwardly in this way through the Bethe Ansatz. We show here how to derive the infinite number of local commuting and non-local and non-commuting conserved charges in integrable QFT, taking the massive Thirring model (sine-Gordon) as an example. They are generated by quantum monodromy operators and provide a representation of deformed affine Lie algebras $U_q({\hat\G})$. Based on lectures delivered at the Karpacz Winter School, Poland, February 14-26, 1994.
21 pages, Latex, LPTHE preprint 94-26. Figures available from the author under request