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

Nikolay Gromov; Fedor Levkovich-Maslyuk; Grigory Alekseevich Sizov

doi:10.1103/PhysRevLett.115.251601

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

Nikolay Gromov, Fedor Levkovich-Maslyuk, Grigory Alekseevich Sizov

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Abstract

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.

Original language	English
Article number	251601
Number of pages	5
Journal	Phys. Rev. Lett
Volume	115
Issue number	25
Early online date	14 Dec 2015
DOIs	https://doi.org/10.1103/PhysRevLett.115.251601
Publication status	Published - 18 Dec 2015

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abstract = "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.",

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AU - Gromov, Nikolay

AU - Levkovich-Maslyuk, Fedor

AU - Sizov, Grigory Alekseevich

PY - 2015/12/18

Y1 - 2015/12/18

N2 - 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.

AB - 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.

UR - http://arxiv.org/pdf/1507.04010.pdf

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

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