BFKL spectrum of N = 4: nonzero conformal spin
Abstract
We developed a general nonperturbative framework for the BFKL spectrum of planar N = 4 SYM, based on the Quantum Spectral Curve (QSC). It allows one to study the spectrum in the whole generality, extending previously known methods to arbitrary values of conformal spin n. We show how to apply our approach to reproduce all known perturbative results for the BalitskyFadinKuraevLipatov (BFKL) Pomeron eigenvalue and get new predictions. In particular, we rederived the FaddeevKorchemsky Baxter equation for the Lipatov spin chain with nonzero conformal spin reproducing the corresponding BFKL kernel eigenvalue. We also get new nonperturbative analytic results for the Pomeron eigenvalue in the vicinity of  n = 1 , ∆ = 0 point and we obtained an explicit formula for the BFKL intercept function for arbitrary conformal spin up to the 3loop order in the small coupling expansion and partial result at the 4loop order. In addition, we implemented the numerical algorithm of [1] as an auxiliary file to this arXiv submission. From the numerical result we managed to deduce an analytic formula for the strong coupling expansion of the intercept function for arbitrary conformal spin.
 Publication:

Journal of High Energy Physics
 Pub Date:
 July 2018
 DOI:
 10.1007/JHEP07(2018)181
 arXiv:
 arXiv:1802.06908
 Bibcode:
 2018JHEP...07..181A
 Keywords:

 Integrable Field Theories;
 AdSCFT Correspondence;
 Supersymmetric Gauge Theory;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology;
 Mathematical Physics;
 Nuclear Theory
 EPrint:
 70 pages, 5 figures, 1 txt, 2 nb and 2 mx files