QCD Pomeron from AdS/CFT Quantum Spectral Curve

TY - JOUR

T1 - QCD Pomeron from AdS/CFT Quantum Spectral Curve

AU - Alfimov, Mikhail

AU - Gromov, Nikolay

AU - Kazakov, Vladimir

PY - 2015/7/30

Y1 - 2015/7/30

N2 - Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of 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 general-ization 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 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.

AB - Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of 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 general-ization 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 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.

U2 - 10.1007/JHEP07(2015)164

DO - 10.1007/JHEP07(2015)164

M3 - Article

SN - 1126-6708

VL - 07

JO - JHEP

JF - JHEP

M1 - 164

ER -