Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-01-24
Phys.Rev.D78:026006,2008
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 2 figures
Scientific paper
10.1103/PhysRevD.78.026006
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 AdS(5) x S(5), 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 Luscher formulas, which depend on the world-sheet S-matrix. We demonstrate the agreement to all orders in g/Delta 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.
Gromov Nikolay
Schafer-Nameki Sakura
Vieira Pedro
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