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Hermitian Separability of BFKL eigenvalue in Bethe Salpeter approach

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arxiv 2007.15388 v3 pith:DLZHBIGY submitted 2020-07-30 hep-th

Hermitian Separability of BFKL eigenvalue in Bethe Salpeter approach

classification hep-th
keywords bfklapproacheigenvalueorderansatzbethehermitiansalpeter
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the Bethe Salpeter approach to the BFKL evolution in order to naturally incorporate the property of the Hermitian Separability in the BFKL approach. We combine the resulting all order ansatz for the BFKL eigenvalue together with reflection identities for harmonic sums and derive the most complicated term of the next-to-next-to-leading order BFKL eigenvalue in SUSY N=4. We also suggest a numerical technique for reconstructing the unknown functions in our ansatz from the known results for specific values of confomal spin.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills: closed form, coefficient structure, and arithmetic

    hep-th 2026-07 conditional novelty 8.0

    The NNLO BFKL eigenvalue of planar N=4 SYM is given in closed form at every odd conformal spin via exact Mellin extraction from the Caron-Huot–Herranen integrand, matching quantum spectral curve intercepts through n=91.

  2. The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills

    hep-th 2026-07 conditional novelty 7.0

    The NNLO BFKL eigenvalue of planar N=4 SYM is now in closed form at every odd spin n, with ν=0 intercepts matching Quantum Spectral Curve data through n=91.