Pomeron Eigenvalue at Three Loops in N=4 Supersymmetric Yang-Mills Theory

We obtain an analytical expression for the next-to-next-to-leading order of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue in planar N=4 SYM using quantum spectral curve (QSC) integrability-based method. The result is verified with more than 60-digit precision using the numerical method...

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Bibliographic Details
Published in:Physical review letters 2015-12, Vol.115 (25), p.251601-251601, Article 251601
Main Authors: Gromov, Nikolay, Levkovich-Maslyuk, Fedor, Sizov, Grigory
Format: Article
Language:English
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Summary:We obtain an analytical expression for the next-to-next-to-leading order of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue in planar N=4 SYM using quantum spectral curve (QSC) integrability-based method. The result is verified with more than 60-digit precision using the numerical method developed by us in a previous paper [N. Gromov, F. Levkovich-Maslyuk, and G. Sizov, arXiv:1504.06640]. As a by-product, we developed a general analytic method of solving the QSC perturbatively.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.115.251601