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N-body dynamics of giant magnons in RxS2

N-body dynamics of giant magnons in RxS2
N-body dynamics of giant magnons in RxS2
We pursue the question of multi-magnon dynamics, focusing on the simplest case of magnons moving on RxS2 and working at the semiclassical level. Through a Pohlmeyer reduction, the problem reduces to another well known integrable field theory, the sine-Gordon model, which can be exactly described through an N-body model of Calogero type. The two theories coincide at the level of equations of motion, but physical quantities like the energies (of magnons and solitons) and the associated phase shifts are different. We start from the equivalence of the two systems at the level of equations of motion and require that the new (string theory) model reproduces the correct magnon energies and the phase shift, both of which differ from the soliton case. From the comparison of energies we suggest a Hamiltonian, and from requiring the correct phase shift we are led to a nontrivial Poisson structure representing the magnons.
hep-th
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Jevicki, Antal
5e483818-a19f-494b-89b0-9f0061faff49
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Jevicki, Antal
5e483818-a19f-494b-89b0-9f0061faff49

Aniceto, Inês and Jevicki, Antal (2008) N-body dynamics of giant magnons in RxS2. arXiv.

Record type: Article

Abstract

We pursue the question of multi-magnon dynamics, focusing on the simplest case of magnons moving on RxS2 and working at the semiclassical level. Through a Pohlmeyer reduction, the problem reduces to another well known integrable field theory, the sine-Gordon model, which can be exactly described through an N-body model of Calogero type. The two theories coincide at the level of equations of motion, but physical quantities like the energies (of magnons and solitons) and the associated phase shifts are different. We start from the equivalence of the two systems at the level of equations of motion and require that the new (string theory) model reproduces the correct magnon energies and the phase shift, both of which differ from the soliton case. From the comparison of energies we suggest a Hamiltonian, and from requiring the correct phase shift we are led to a nontrivial Poisson structure representing the magnons.

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More information

Published date: 27 October 2008
Additional Information: 19 pages, no figures
Keywords: hep-th

Identifiers

Local EPrints ID: 424146
URI: https://eprints.soton.ac.uk/id/eprint/424146
PURE UUID: 0f4b37af-72d6-4aba-9d9b-dc5119e8cd20

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Date deposited: 05 Oct 2018 11:30
Last modified: 05 Oct 2018 11:30

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