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arXiv · hep-th/9406135

The Field Theory Limit of Integrable Lattice Models

H. J. de Vega
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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 $q-$deformed affine Lie algebras $U_q({\hat\G})$. Based on lectures delivered at the $XXX_q$ Karpacz Winter School, Poland, February 14-26, 1994.

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H. J. de Vega. 1994-06-21. The Field Theory Limit of Integrable Lattice Models. https://arxiv.org/abs/hep-th/9406135

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