NLO evolution of color dipoles in N=4 SYM
Abstract
High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal $${\cal N}$$=4 SYM theory. We define the ``composite dipole operator' with the rapidity cutoff preserving conformal invariance. The resulting M\"obius invariant kernel agrees with the forward NLO BFKL calculation of Ref. 1
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 956326
- Report Number(s):
- JLAB-THY-09-961; DOE/OR/23177-0660
- DOE Contract Number:
- AC05-060R23177
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Balitsky, Ian, and Chirilli, Giovanni. NLO evolution of color dipoles in N=4 SYM. United States: N. p., 2009.
Web. doi:10.1016/j.nuclphysb.2009.07.003.
Balitsky, Ian, & Chirilli, Giovanni. NLO evolution of color dipoles in N=4 SYM. United States. https://doi.org/10.1016/j.nuclphysb.2009.07.003
Balitsky, Ian, and Chirilli, Giovanni. 2009.
"NLO evolution of color dipoles in N=4 SYM". United States. https://doi.org/10.1016/j.nuclphysb.2009.07.003. https://www.osti.gov/servlets/purl/956326.
@article{osti_956326,
title = {NLO evolution of color dipoles in N=4 SYM},
author = {Balitsky, Ian and Chirilli, Giovanni},
abstractNote = {High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal ${\cal N}$=4 SYM theory. We define the ``composite dipole operator' with the rapidity cutoff preserving conformal invariance. The resulting M\"obius invariant kernel agrees with the forward NLO BFKL calculation of Ref. 1},
doi = {10.1016/j.nuclphysb.2009.07.003},
url = {https://www.osti.gov/biblio/956326},
journal = {Physical Review D},
number = ,
volume = ,
place = {United States},
year = {Thu Jan 01 00:00:00 EST 2009},
month = {Thu Jan 01 00:00:00 EST 2009}
}
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