Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Interacting finite-size magnons


McLoughlin,  Tristan
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

(Publisher version), 2MB

Supplementary Material (public)
There is no public supplementary material available

Klose, T., & McLoughlin, T. (2008). Interacting finite-size magnons. Journal of Physics A: Mathematical and Theoretical, 41(28): 285401. doi:10.1088/1751-8113/41/28/285401.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6334-1
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.