Quantum giant magnons
2008 (English)In: Journal of High Energy Physics, ISSN 1126-6708, no 5, 47- p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. no 5, 47- p.
sigma models, 1/N expansion, integrable field theories, Bethe Ansatz
IdentifiersURN: urn:nbn:se:uu:diva-110039DOI: 10.1088/1126-6708/2008/05/047ISI: 000256664400047OAI: oai:DiVA.org:uu-110039DiVA: diva2:275061