A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
arXiv:1006.5419
Abstract
We systematically construct a semiclassical expansion for the eigenvalues of the 2nd order quantum fluctuations of the folded spinning superstring rotating in the AdS_3 part of AdS_5 x S^5 with two alternative methods; by using the exact expression of the Bloch momentum generated by the curvature induced periodic potentials and by using the large energy expansion of the dispersion relation. We then calculate the one-loop correction to the energy by summing over the eigenvalues. Our results are extremely accurate for strings whose ends are not too close to the AdS radius. Finally we derive the small spin Regge expansion in the context of zeta function approximation.
27 pages, 3 figures
References in corpus (27)
- Strings in flat space and pp waves from Super Yang Mills
- Transcendentality and Crossing
- Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
- Semiclassical quantization of rotating superstring in AdS_5 x S^5
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Integrability for the Full Spectrum of Planar AdS/CFT II
- Integrability for the Full Spectrum of Planar AdS/CFT
- The Algebraic Curve of Classical Superstrings on AdS_5xS^5
- Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
- Exact AdS/CFT spectrum: Konishi dimension at any coupling
- Logarithmic scaling in gauge/string correspondence
- A Test of the AdS/CFT Correspondence Using High-Spin Operators
- On Quantum Corrections to Spinning Strings and Bethe Equations
- Integrability in QCD and beyond
- Five-Loop Anomalous Dimension of Twist-Two Operators
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- Self-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics
- Four-Loop Cusp Anomalous Dimension From Obstructions
- Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
- Planetoid String Solutions in 3 + 1 Axisymmetric Spacetimes
- Stringy sums and corrections to the quantum string Bethe ansatz
- Borel Summation of the Derivative Expansion and Effective Actions
- Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
- Structure of large spin expansion of anomalous dimensions at strong coupling
- Quantum corrections to energy of short spinning string in AdS5
- Spiky Strings and Spin Chains
- Spiky strings in Bethe Ansatz at strong coupling