QCD pomeron from AdS/CFT Quantum Spectral Curve

Mikhail Alfimov , Nikolay Gromov (1) , Vladimir Kazakov (2, 3)

1 St. Petersburg Nuclear Physics Institute
2 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]
3 UPMC - Université Pierre et Marie Curie - Paris 6

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

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