English

The Field Theory Limit of Integrable Lattice Models

High Energy Physics - Theory 2009-09-25 v1

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 qq-deformed affine Lie algebras Uq(\G^)U_q({\hat\G}). Based on lectures delivered at the XXXqXXX_q Karpacz Winter School, Poland, February 14-26, 1994.

Keywords

Cite

@article{arxiv.hep-th/9406135,
  title  = {The Field Theory Limit of Integrable Lattice Models},
  author = {H. J. de Vega},
  journal= {arXiv preprint arXiv:hep-th/9406135},
  year   = {2009}
}

Comments

21 pages, Latex, LPTHE preprint 94-26. Figures available from the author under request