QCD pomeron from AdS/CFT quantum spectral curve

DOI10.1007/JHEP07(2015)164zbMATH Open1388.81267arXiv1408.2530OpenAlexW3105605105WikidataQ62514357 ScholiaQ62514357MaRDI QIDQ2635654

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Publication date: 31 May 2018

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Abstract: Using the methods of the recently proposed Quantum Spectral Curve (QSC) originating from integrability of $calN=4$ 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 $calN=4$ 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.

Full work available at URL: https://arxiv.org/abs/1408.2530

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