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ID: 354862.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Interacting finite-size magnons
Authors:Klose, Thomas; McLoughlin, Tristan
Date of Publication (YYYY-MM-DD):2008-07
Title of Journal:Journal of Physics A: Mathematical and Theoretical
Volume:41
Issue / Number:28
Sequence Number of Article:285401
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0803.2324
ISSN:1361-6447
DOI:10.1088/1751-8113/41/28/285401
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