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K. Zarembo JHEP05(2008)047 doi:10.1088/1126-6708/2008/05/047

Quantum giant magnons

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K. Zarembo

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Abstract References Cited By
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 Schrödinger model, and nearly isotropic XXZ spin chain in the magnetic field.

Keywords

1/N Expansion

Integrable Field Theories

Sigma Models

Bethe Ansatz

 

E-print Number: 0802.3681

Cited: by |

Refers: to

PACS

11.10.Lm Nonlinear or nonlocal theories and models

11.25.Hf Conformal field theory, algebraic structures

Subjects

Particle physics and field theory

Dates

Issue 05 (May 2008)

Received 7 March 2008, accepted for publication 25 April 2008

Published 14 May 2008



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