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

Abstract

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.

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

References in corpus (8)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• Wrapping interactions at strong coupling -- the giant magnon
• Gauge invariant finite size spectrum of the giant magnon
• Exact expressions for quantum corrections to spinning strings
• Quantum Scattering of Giant Magnons

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• Scattering of Giant Magnons in CP^3
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• Wrapping effects in supersymmetric gauge theories