Systematic classical continuum limits of integrable spin chains and emerging novel dualities

Details Systematic classical continuum limits of integrable spin chains and emerging novel dualities Systematic classical continuum limits of integrable spin chains and emerging novel dualities

2010-05-25

arxiv.org/abs/1005.4605v2

Nucl. Phys. B840 [FS] (2010) 469-490

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, Latex. Two references added, a few typos corrected, version to appear in NPB

Scientific paper

10.1016/j.nuclphysb.2010.07.014

We examine certain classical continuum long wave-length limits of prototype integrable quantum spin chains. We define the corresponding construction of classical continuum Lax operators. Our discussion starts with the XXX chain, the anisotropic Heisenberg model and their generalizations and extends to the generic isotropic and anisotropic gl_n magnets. Certain classical and quantum integrable models emerging from special "dualities" of quantum spin chains, parametrized by c-number matrices, are also presented.

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