Quantum giant magnon

Journal Article · Tue Jul 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.026006· OSTI ID:21250433

Gromov, Nikolay ^[1]; Schaefer-Nameki, Sakura ^[2]; Vieira, Pedro ^[3]

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1. Service de Physique Theorique, CNRS-URA 2306 C.E.A.-Saclay, F-91191 Gif-sur-Yvette (France)
2. California Institute of Technology, 1200 E California Blvd., Pasadena, California 91125 (United States)
3. Laboratoire de Physique Theorique de l'Ecole Normale Superieure et l'Universite Paris-VI, Paris, 75231 (France)

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{sub 5}xS{sup 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 Luescher formulas, which depend on the world-sheetS-matrix. We demonstrate the agreement to all orders in ({delta}/{radical}({lambda})){sup -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.

• OSTI ID: 21250433
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CONFIGURATION
CORRECTIONS
DE SITTER GROUP
EXCITATION
LIGHT CONE
MAGNONS
MATHEMATICAL SOLUTIONS
S MATRIX
SPECTRA
STRING MODELS