Interacting finite-size magnons

ID: 663549.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Interacting finite-size magnons
Authors:	Canals Gustavo Adolfo; Klosseü Gütem
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External Publication Status:	unpublished
Document Type:	Article
Communicated by:	Hermann Nicolai
Affiliations:	MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:	LOCALID:arXiv:0803.4453
Full Text: You have privileges to view the following file(s): 08056645v1.pdf. [922,00 Kb] [Comment:arXiv:0803.2324v2 [hep-th]] Canals Gustavo Adolfo Dr.Física Teórica; Ph.D.math. MPI für Gravitationsphysik adolfocanals@educ.ar