The 2-loop generalized scaling function from the BES/FRS equation

Abstract

We formulate the BES/FRS equation as a functional equation in the rapidity space and perform its strong coupling expansion in the limit when $\ell =j/4g$ is kept finite. We obtain a result which is consistent with the previous calculations at tree level and one loop and which differs from the two-loop calculation in 0805.4615 by a term singular at $\ell =0$.

28 pages, 2 figures

References in corpus (23)

• 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
• Bethe Ansatz for Quantum Strings
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• On the highest transcendentality in N=4 SUSY
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• On the Strong Coupling Scaling Dimension of High Spin Operators
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• A Generalized Scaling Function for AdS/CFT
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Functional BES equation
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Scaling function in AdS/CFT from the O(6) sigma model
• The scaling function at strong coupling from the quantum string Bethe equations
• The generalised scaling function: a note
• The generalised scaling function: a systematic study
• Strong coupling expansion of Baxter equation in N=4 SYM

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• Quantum integrability and functional equations
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Nonperturbative scales in AdS/CFT
• Luescher formula for GKP string
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• More about "short" spinning quantum strings
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• 12 loops and triple wrapping in ABJM theory from integrability