A new derivation of Luscher F-term and fluctuations around the giant magnon

Details A new derivation of Luscher F-term and fluctuations around the giant magnon A new derivation of Luscher F-term and fluctuations around the giant magnon

2008-01-29

arxiv.org/abs/0801.4463v3

JHEP0806:036,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures; v2: added assumption on diagonal scattering and a section on generalizations; v3: minor changes, version

Scientific paper

10.1088/1126-6708/2008/06/036

In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations.

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