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

Phys Rev Lett

Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom.

Published: December 2015

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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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http://dx.doi.org/10.1103/PhysRevLett.115.251601DOI Listing

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

Phys Rev Lett

December 2015

Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom.

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.

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