Interacting finite-size magnons

Details Interacting finite-size magnons Interacting finite-size magnons

2008-03-17

arxiv.org/abs/0803.2324v2

J.Phys.A41:285401,2008

Physics

High Energy Physics

High Energy Physics - Theory

45pages, 7figures, v2: simplified expressions for periods and angular momenta when elliptic modulus is greater than one, refer

Scientific paper

10.1088/1751-8113/41/28/285401

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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