Finite-Size Effects for Multi-Magnon States

dc.creatorHatsuda, Yasuyuki
dc.creatorSuzuki, Ryo
dc.date2008-07-07
dc.date2008-10-15
dc.date.accessioned2026-07-07T12:38:40Z
dc.date.available2026-07-07T12:38:40Z
dc.descriptionWe propose the generalized Luscher formula for multi-magnon states by which one can compute the finite-size correction to the energy of multi giant magnons at classical and one-loop levels. It is shown that the F-term of our formula is consistent with the exact finite-size spectrum of the sinh-Gordon model, and the mu-term agrees with the finite-size energy of magnon boundstate of the asymptotic Bethe Ansatz in the su(2) sector at strong coupling. In an appendix, we evaluate our formula at weak coupling under some approximations, and find that the transcendental terms arise from a sum over an infinite tower of BPS boundstates.
dc.description1+35 pages, v3: further clarification provided in Section 4, Section 5 moved to an appendix, v4: improved arguments for the case of multi dyonic giant magnons, based on the published version
dc.identifierhttps://arxiv.org/abs/0807.0643
dc.identifierhttp://arxiv.org/abs/0807.0643
dc.identifierJHEP 0809:025,2008
dc.identifierdoi:10.1088/1126-6708/2008/09/025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218841
dc.subjectHigh Energy Physics - Theory
dc.titleFinite-Size Effects for Multi-Magnon States
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