Strong-coupling expansion of cusp anomaly from quantum superstring
arXiv:0709.0681 · doi:10.1088/1126-6708/2007/11/016
Abstract
We consider the world surface in AdS_5 that ends on two intersecting null lines at the boundary. The corresponding string partition function describes the expectation value of the Wilson line with a null cusp in dual large N maximally supersymmetric gauge theory and thus determines the cusp anomaly function f(λ) of the gauge coupling. The first two coefficients in its strong-coupling or string inverse tension expansion were determined in hep-th/0210115 (a_1=1) and in arXiv:0707.4254 (a_2=- 3 log 2). Here we find that the 2-loop coefficient is a_2 = - K where K is the Catalan's constant. This is in agreement (expected on general grounds) with the previous results for f(λ) as the coefficient of log(S) term in the energy of closed spinning string in AdS_5. The string theory value for a_2 is in agreement with the numerical result in hep-th/0611135 and the recent analytic result in arXiv:0708.3933 for the solution of the BES equation following from the asymptotic Bethe ansatz for the spectrum of the theory. We explicitly verify the cancellation of 2-loop 2d logarithmic divergences thus demonstrating the quantum consistency of the AdS_5 x S^5 superstring. We also discuss the structure of higher loop string corrections to the cusp anomaly giving a 2d QFT diagrammatic interpretation to the strong-coupling expansion of the cusp anomaly function as solution of the BES equation found in arXiv:0708.3933.
22 pages, 3 figures. v2: a footnote added, misprints corrected. v3: minor corrections, references added. v4:minor correction (footnote 23 rephrased)
References in corpus (36)
- Wilson loops in large N field theories
- Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
- Gluon scattering amplitudes at strong coupling
- A semi-classical limit of the gauge/string correspondence
- Type IIB superstring action in AdS_5 x S^5 background
- Semiclassical quantization of rotating superstring in AdS_5 x S^5
- Bethe Ansatz for Quantum Strings
- Wilson Loops and Minimal Surfaces
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Multi-spin string solutions in AdS_5 x S^5
- The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
- A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
- Structure functions for large and renormalization of Wilson loops
- Quantum corrections to the string Bethe ansatz
- Precision Spectroscopy of AdS/CFT
- String Theory and Quark Confinement
- A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
- On AdS_5 x S^5 String S-matrix
- A Test of the AdS/CFT Correspondence Using High-Spin Operators
- On Quantum Corrections to Spinning Strings and Bethe Equations
- Simplifying superstring action on AdS_5 x S^5
- On the highest transcendentality in N=4 SUSY
- Two-loop world-sheet corrections in AdS_5 x S^5 superstring
- Superstring action in AdS_5 x S^5: kappa symmetry light cone gauge
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- Integrability and Transcendentality
- On the Strong Coupling Scaling Dimension of High Spin Operators
- The GS String Action on AdS_5 x S^5
- On the evaluation of a certain class of Feynman diagrams in x-space: Sunrise-type topologies at any loop order
- Light-Cone Wilson Loops and the String/Gauge Correspondence
- On the evaluation of sunset-type Feynman diagrams
- The scaling function at strong coupling from the quantum string Bethe equations
- Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
- Baxter equation for long-range SL(2|1) magnet
- Non-linear sigma models with anti-de Sitter target spaces
- Laurent series expansion of sunrise-type diagrams using configuration space techniques
Cited by in corpus (70)
- On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
- Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
- Hexagon Wilson loop = six-gluon MHV amplitude
- The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
- The all loop AdS4/CFT3 Bethe ansatz
- Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
- Supersymmetric Wilson loops on S^3
- Spinning strings at one-loop in AdS_4 x P^3
- Exciting the GKP string at any coupling
- A Generalized Scaling Function for AdS/CFT
- Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
- Complete 1-loop test of AdS/CFT
- On T-Duality and Integrability for Strings on AdS Backgrounds
- Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
- Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
- Comment on the Scaling Function in AdS4 x CP3
- Quantum Wrapped Giant Magnon
- Structure of large spin expansion of anomalous dimensions at strong coupling
- The Sudakov form factor at four loops in maximal super Yang-Mills theory
- Quark-antiquark potential in AdS at one loop
- Scaling function in AdS/CFT from the O(6) sigma model
- Spiky strings, light-like Wilson loops and pp-wave anomaly
- Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
- Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
- The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
- Resurgence of the Cusp Anomalous Dimension
- Duality between Wilson loops and gluon amplitudes
- Two-loop cusp anomaly in ABJM at strong coupling
- Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
- Nonperturbative Negative Geometries: Amplitudes at Strong Coupling and the Amplituhedron
- The virtual scaling function of AdS/CFT
- Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
- UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
- Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
- Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
- Nonperturbative scales in AdS/CFT
- Wilson loops at large and the quantum M2 brane
- Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
- Analytic solution of the multiloop Baxter equation
- Luescher formula for GKP string
- On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM
- The AdS(n) x S(n) x T(10-2n) BMN string at two loops
- Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
- Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
- Minimal solution of the AdS/CFT crossing equation
- What can we learn about QCD and collider physics from N=4 super Yang-Mills?
- Algebraic Curves for Factorized String Solutions
- Spiky strings in the SL(2) Bethe Ansatz
- Cross-Order Integral Relations from Maximal Cuts
- Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
- Implementation of the Duality between Wilson loops and Scattering Amplitudes in QCD
- Worldsheet scattering for the GKP string
- Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
- Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
- Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
- Construction of Infrared Finite Observables in N=4 Super Yang-Mills Theory
- Dressed Wilson Loops on S^2
- One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
- From weak coupling to spinning strings
- Two-loop corrections to partition function of Pohlmeyer-reduced theory for AdS_5 x S^5 superstring
- Fine Structure of String Spectrum in AdS(5)xS(5)
- Large-Spin Expansions of GKP Strings
- Conformal SO(2,4) Transformations for the Helical AdS String Solution
- Lattice perturbation theory for the null cusp string
- Holography on the lattice: the string worldsheet perspective
- Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
- Generalized quark-antiquark potential in AdS/CFT
- Spiky Strings with Two Spins in AdS5
- Note About String with Euclidean World-Sheet in AdS(5)xS(5)
- On interpolating anomalous dimension of twist-two operators with general spins