Finite-Size Effects for Dyonic Giant Magnons
Abstract
Description
We compute finite-size corrections to dyonic giant magnons in two ways. One is by examining the asymptotic behavior of helical strings of hep-th/0609026 as elliptic modulus k goes to unity, and the other is by applying the generalized Luscher formula for mu-term of arXiv:0708.2208 to the situation in which incoming particles are boundstates. By careful choice of poles in the su(2|2)^2-invariant S-matrix, we find agreement of the two results, which makes possible to predict the (leading) finite-size correction for dyonic giant magnons to all orders in the 't Hooft coupling.
1+45 pages, 10 figures, v2: references added, discussion in section 3.2 corrected, v3: references added, minor corrections, v4: published version, v5: Revised subsection 2.3, section 3 and some appendices to correct mistakes. Added the case 1 < Q << g
1+45 pages, 10 figures, v2: references added, discussion in section 3.2 corrected, v3: references added, minor corrections, v4: published version, v5: Revised subsection 2.3, section 3 and some appendices to correct mistakes. Added the case 1 < Q << g