Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-02-25
JHEP 0805:047,2008
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 4 figures
Scientific paper
10.1088/1126-6708/2008/05/047
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.
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