2008/01/24 by Nikolay Gromov, Sakura Schafer-Nameki, Sakura Schäfer‐Nameki +1 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.78.026006
published as Phys.Rev.D78:026006,2008 · 17 pages, 2 figures
arxiv created 2008/01/24 · openalex publication_date 2008/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Understanding the finite-size corrections to the fundamental excitations of a theory is the first step towards completely solving for the spectrum in finite volume. We compute the leading exponential correction to the quantum energy of the fundamental excitation of the light-cone gauged string in AdS5\ifmmode×\else\texttimes\fiS5, which is the giant magnon solution. We present two independent ways to obtain this correction: the first approach makes use of the algebraic curve description of the giant magnon. The second relies on the purely field-theoretical L"uscher formulas, which depend on the world-sheetS-matrix. We demonstrate the agreement to all orders in (\ensuremathΔ/√\ensuremathλ)^\ensuremath-1 of these approaches, which, in particular, presents a further test of the S-matrix. We comment on generalizations of this method of computation to other string configurations.