# QCD pomeron from AdS/CFT Quantum Spectral Curve

Abstract : Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of ${\cal N}=4$ 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 ${\cal N}=4$ 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.
Document type :
Journal articles

https://hal-cea.archives-ouvertes.fr/cea-01297553
Contributor : Emmanuelle de Laborderie <>
Submitted on : Monday, April 4, 2016 - 2:41:28 PM
Last modification on : Thursday, December 10, 2020 - 12:38:39 PM

### Citation

Mikhail Alfimov, Nikolay Gromov, Vladimir Kazakov. QCD pomeron from AdS/CFT Quantum Spectral Curve. Journal of High Energy Physics, Springer Verlag (Germany), 2015, 2015 (7), pp.164. ⟨10.1007/JHEP07(2015)164⟩. ⟨cea-01297553⟩

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