$N=4$ SYM Quantum Spectral Curve in BFKL regime - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2021

$N=4$ SYM Quantum Spectral Curve in BFKL regime

Mikhail Alfimov
  • Fonction : Auteur
Nikolay Gromov
  • Fonction : Auteur

Résumé

We review the applications of the Quantum Spectral Curve (QSC) method to the Regge (BFKL) limit in N=4 supersymmetric Yang-Mills theory. QSC, based on quantum integrability of the AdS$_5$/CFT$_4$ duality, was initially developed as a tool for the study of the spectrum of anomalous dimensions of local operators in the N=4 SYM in the planar, $N_c\to\infty$ limit. We explain how to apply the QSC for the BFKL limit, which requires non-trivial analytic continuation in spin $S$ and extends the initial construction to non-local light-ray operators. We give a brief review of high precision non-perturbative numerical solutions and analytic perturbative data resulting from this approach. We also describe as a simple example of the QSC construction the leading order in the BFKL limit. We show that the QSC substantially simplifies in this limit and reduces to the Faddeev-Korchemsky Baxter equation for Q-functions. Finally, we review recent results for the Fishnet CFT, which carries a number of similarities with the Lipatov's integrable spin chain for interacting reggeized gluons.

Dates et versions

hal-02527142 , version 1 (01-04-2020)

Identifiants

Citer

Mikhail Alfimov, Nikolay Gromov, Vladimir Kazakov. $N=4$ SYM Quantum Spectral Curve in BFKL regime. From the Past to the Future : the legacy of Lev Lipatov, World Scientific, pp.335-367, 2021, 978-981-12-3111-7. ⟨10.1142/9789811231124_0013⟩. ⟨hal-02527142⟩
22 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More