Semiclassical Strings in AdS{sub 5}xS{sup 5} and Automorphic Functions

Journal Article · Fri Jun 17 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.241601· OSTI ID:21567459

Pawellek, Michael ^[1]

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1. Department of Theoretical Physics, Royal Institute of Technology (KTH)- AlbaNova University Center, Roslagstullbacken 21, 106 91 Stockholm (Sweden)

Using anti-de Sitter-space/conformal-field-theory correspondence we derive from the folded spinning string ordinary differential equations for the anomalous dimension of the dual N=4 super Yang-Mills theory twist-two operators at strong coupling. We show that for large spin the asymptotic solutions have the Gribov-Lipatov reciprocity property. To obtain this result we use a hidden modular invariance of the energy-spin relation of the folded spinning string. Furthermore, we identify the Moch-Vermaseren-Vogt relations, which were first recognized in plain QCD calculations, as the recurrence relations of the asymptotic series ansatz.

• OSTI ID: 21567459
• Journal Information: Physical Review Letters, Vol. 106, Issue 24; Other Information: DOI: 10.1103/PhysRevLett.106.241601; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANOMALOUS DIMENSION
ANTI DE SITTER SPACE
ASYMPTOTIC SOLUTIONS
CONFORMAL INVARIANCE
DIFFERENTIAL EQUATIONS
QUANTUM CHROMODYNAMICS
RECURSION RELATIONS
SEMICLASSICAL APPROXIMATION
SPIN
STRONG-COUPLING MODEL
YANG-MILLS THEORY
ANGULAR MOMENTUM
APPROXIMATIONS
CALCULATION METHODS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SCALE DIMENSION
SPACE