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arXiv · 0803.2324

Interacting finite-size magnons

Thomas Klose·Tristan McLoughlin
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Abstract

We explicitly construct a large class of finite-volume two-magnon string solutions moving on R x S^2. In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breather-like solutions. After semi-classically quantizing these solutions we invert the implicit expressions for the excitation energies in certain limits and find the corrections for the multi-magnon states. For the breather-like solutions we express the energies directly in terms of the action variable whereas for the scattering solution we express the result as a combination of corrections to the dispersion relation and to the scattering phase.

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Thomas Klose, Tristan McLoughlin. 2008-03-25. Interacting finite-size magnons. https://doi.org/10.1088/1751-8113%2F41%2F28%2F285401

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