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

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

Access to Document

10.3390/universe7110444

Cite this

@article{0934a02ec88d4451bcacaf3bb790109d,

title = "Real valued functions for the bfkl eigenvalue",

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.",

keywords = "BFKL equation, Maximal transcendentality, Real valued functions",

author = "Mohammad Joubat and Alex Prygarin",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = nov,

doi = "10.3390/universe7110444",

language = "אנגלית",

volume = "7",

journal = "Universe",

issn = "2218-1997",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "11",

}

TY - JOUR

T1 - Real valued functions for the bfkl eigenvalue

AU - Joubat, Mohammad

AU - Prygarin, Alex

PY - 2021/11

Y1 - 2021/11

N2 - 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.

AB - 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.

KW - BFKL equation

KW - Maximal transcendentality

KW - Real valued functions

UR - http://www.scopus.com/inward/record.url?scp=85119824522&partnerID=8YFLogxK

U2 - 10.3390/universe7110444

DO - 10.3390/universe7110444

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85119824522

SN - 2218-1997

VL - 7

JO - Universe

JF - Universe

IS - 11

M1 - 444

ER -

Real valued functions for the bfkl eigenvalue

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this