Real Valued Functions for the BFKL Eigenvalue

We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn&g...

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Bibliographic Details
Main Authors:	Mohammad Joubat, Alex Prygarin
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	BFKL equation real valued functions maximal transcendentality Elementary particle physics QC793-793.5
Online Access:	https://doaj.org/article/b7abea9f11bb4da7bf502c4d938fed5c
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spelling	oai:doaj.org-article:b7abea9f11bb4da7bf502c4d938fed5c2021-11-25T19:09:51ZReal Valued Functions for the BFKL Eigenvalue10.3390/universe71104442218-1997https://doaj.org/article/b7abea9f11bb4da7bf502c4d938fed5c2021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/444https://doaj.org/toc/2218-1997We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>4</mn></mrow></semantics></math></inline-formula> 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.Mohammad JoubatAlex PrygarinMDPI AGarticleBFKL equationreal valued functionsmaximal transcendentalityElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 444, p 444 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	BFKL equation real valued functions maximal transcendentality Elementary particle physics QC793-793.5
spellingShingle	BFKL equation real valued functions maximal transcendentality Elementary particle physics QC793-793.5 Mohammad Joubat Alex Prygarin Real Valued Functions for the BFKL Eigenvalue
description	We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>4</mn></mrow></semantics></math></inline-formula> 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.
format	article
author	Mohammad Joubat Alex Prygarin
author_facet	Mohammad Joubat Alex Prygarin
author_sort	Mohammad Joubat
title	Real Valued Functions for the BFKL Eigenvalue
title_short	Real Valued Functions for the BFKL Eigenvalue
title_full	Real Valued Functions for the BFKL Eigenvalue
title_fullStr	Real Valued Functions for the BFKL Eigenvalue
title_full_unstemmed	Real Valued Functions for the BFKL Eigenvalue
title_sort	real valued functions for the bfkl eigenvalue
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/b7abea9f11bb4da7bf502c4d938fed5c
work_keys_str_mv	AT mohammadjoubat realvaluedfunctionsforthebfkleigenvalue AT alexprygarin realvaluedfunctionsforthebfkleigenvalue
_version_	1718410238505254912

Real Valued Functions for the BFKL Eigenvalue

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