QCD Pomeron from AdS/CFT Quantum Spectral Curve

Abstract

Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of $\mathcal{N}=4$ Super--Yang-Mills theory we analytically continue the scaling dimensions of twist-2 operators and reproduce the so-called pomeron eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. Furthermore, we recovered the Faddeev-Korchemsky Baxter equation for Lipatov's spin chain and also found its generalization for the next-to-leading order in the BFKL scaling. Our results provide a non-trivial test of QSC describing the exact spectrum in planar $\mathcal{N}=4$ SYM at infinitely many loops for a highly nontrivial non-BPS quantity and also opens a way for a systematic expansion in the BFKL regime.

arXiv comment22 pages, 2 figures, minor corrections, references added

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• Light-ray operators in conformal field theory
• Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• NNLO BFKL Pomeron eigenvalue in N=4 SYM
• Integrability of Conformal Fishnet Theory
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Quark--anti-quark potential in N=4 SYM
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Three-point correlator of twist-2 operators in BFKL limit
• The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve
• Strong coupling results from the numerical solution of the quantum spectral curve
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• A review of the AdS/CFT Quantum Spectral Curve
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• ABJM quantum spectral curve and Mellin transform
• Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Holographic DC Conductivity for Backreacted NLED in Massive Gravity
• Integrability treatment of AdS/CFT orbifolds
• Worldsheet dilatation operator for the $AdS$ superstring
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• Open Spin Chains and Complexity in the High Energy Limit
• Master symmetry in the $Ad{S}_5\times S^5$ pure spinor string
• On analytical perturbative solution of ABJM quantum spectral curve
• Structure constants of twist-two light-ray operators in the triple Regge limit
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal