Two-Point Correlator of Twist-2 Light-Ray Operators in N=SYM in BFKL Approximation

Authors

Ian Balitsky, Old Dominion UniversityFollow
Vladimir Kazakov, Ecole Normale Supérieure
Evgeny Sobko, Ecole Normale Supérieure

Document Type

Article

Publication Date

2023

DOI

10.1016/j.nuclphysb.2023.116267

Publication Title

Nuclear Physics B

Volume

993

Pages

116267 (1-30)

Abstract

We generalize local operators of the leading twist-2 of 𝒩 = SYM theory to the case of complex Lorentz spin j using principal series representation of sl(2, R). We give the direct computation of correlation function of two such non-local operators in the BFKL regime when j → 1. The correlator appears to have the expected conformal coordinate dependence governed by the anomalous dimension of twist-2 operator in NLO BFKL approximation predicted by Kotikov and Lipatov.

Rights

© 2023 The Authors.

This is an open access article under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Funded by SCOAP³.

Original Publication Citation

Balitsky, I., Kazakov, V., & Sobko, E. (2023). Two-point correlator of twist-2 light-ray operators in N=4 SYM in BFKL approximation. Nuclear Physics B, 993, 1-30, Article 116267. https://doi.org/10.1016/j.nuclphysb.2023.116267

Repository Citation

Balitsky, Ian; Kazakov, Vladimir; and Sobko, Evgeny, "Two-Point Correlator of Twist-2 Light-Ray Operators in N=SYM in BFKL Approximation" (2023). Physics Faculty Publications. 798.
https://digitalcommons.odu.edu/physics_fac_pubs/798