Integrable quantum spin chains and their classical continuous counterparts

Abstract

We present certain classical continuum long wave-length limits of prototype integrable quantum spin chains, and define the corresponding construction of classical continuum Lax operators. We also provide two specific examples, i.e. the isotropic and anisotropic Heisenberg models.

15 pages Latex. Proceedings contribution to the Corfu Summer Institute on Elementary Particle Physics and Gravity - Workshop on Non Commutative Field Theory and Gravity, 8-12 September 2010, Corfu, Greece