Real valued functions for the bfkl eigenvalue

Mohammad Joubat; Alex Prygarin

doi:10.3390/universe7110444

Real valued functions for the bfkl eigenvalue

Mohammad Joubat, Alex Prygarin

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in N = 4 super Yang-Mills theory as a real valued function of two variables. We define new real valued functions of two complex conjugate variables that have a definite complexity analogous to the weight of the nested harmonic sums. We argue that those functions span a general space of functions for the BFKL eigenvalue at any order of the perturbation theory.

Original language	English
Article number	444
Journal	Universe
Volume	7
Issue number	11
DOIs	https://doi.org/10.3390/universe7110444
State	Published - Nov 2021

Keywords

BFKL equation
Maximal transcendentality
Real valued functions

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10.3390/universe7110444

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abstract = "We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in N = 4 super Yang-Mills theory as a real valued function of two variables. We define new real valued functions of two complex conjugate variables that have a definite complexity analogous to the weight of the nested harmonic sums. We argue that those functions span a general space of functions for the BFKL eigenvalue at any order of the perturbation theory.",

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Real valued functions for the bfkl eigenvalue

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Keywords

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