3 research outputs found
Interacting finite-size magnons
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.Comment: 45pages, 7figures, v2: simplified expressions for periods and angular
momenta when elliptic modulus is greater than one, references added, typos
correcte