Quantum Giant Magnons
High Energy Physics - Theory
2012-10-19 v2
Abstract
The giant magnons are classical solitons of the O(N) sigma-model, which play an important role in the AdS/CFT correspondence. We study quantum giant magnons first at large N and then exactly using Bethe Ansatz, where giant magnons can be interpreted as holes in the Fermi sea. We also identify a solvable limit of Bethe Ansatz in which it describes a weakly-interacting Bose gas at zero temperature. The examples include the O(N) model at large N, weakly interacting non-linear Schrodinger model, and nearly isotropic XXZ spin chain in the magnetic field.
Keywords
Cite
@article{arxiv.0802.3681,
title = {Quantum Giant Magnons},
author = {K. Zarembo},
journal= {arXiv preprint arXiv:0802.3681},
year = {2012}
}
Comments
19 pages, 4 figures; v2: ref. [3] added, misprints corrected