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The Field Theory Limit of Integrable Lattice Models

1994/06/21 by H. J. de Vega, de Vega, H. J.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/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 q-deformed affine Lie algebras Uq(\G). Based on lectures delivered at the XXXq Karpacz Winter School, Poland, February 14-26, 1994.

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