NLO evolution of color dipoles in N=4 SYM
Abstract
Here, highenergy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilsonline operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the nexttoleading order BK equation has both conformal and nonconformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the runningcoupling 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.
 Authors:

 Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 979627
 Report Number(s):
 JLABTHY09961; DOE/OR/231770660
Journal ID: ISSN 05503213; TRN: US1003238
 Grant/Contract Number:
 AC0506OR23177
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 822; Journal Issue: 12; Journal ID: ISSN 05503213
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; APPROXIMATIONS; COLOR; CONFORMAL INVARIANCE; COUPLING CONSTANTS; DIPOLES; KERNELS; PARTICLE RAPIDITY; QUANTUM CHROMODYNAMICS; highenergy asymptotics; evolution of Wilson lines; conformal invariance
Citation Formats
Chirilli, Giovanni A., and Balitsky, Ian. NLO evolution of color dipoles in N=4 SYM. United States: N. p., 2009.
Web. doi:10.1016/j.nuclphysb.2009.07.003.
Chirilli, Giovanni A., & Balitsky, Ian. NLO evolution of color dipoles in N=4 SYM. United States. doi:10.1016/j.nuclphysb.2009.07.003.
Chirilli, Giovanni A., and Balitsky, Ian. Sat .
"NLO evolution of color dipoles in N=4 SYM". United States. doi:10.1016/j.nuclphysb.2009.07.003. https://www.osti.gov/servlets/purl/979627.
@article{osti_979627,
title = {NLO evolution of color dipoles in N=4 SYM},
author = {Chirilli, Giovanni A. and Balitsky, Ian},
abstractNote = {Here, highenergy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilsonline operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the nexttoleading order BK equation has both conformal and nonconformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the runningcoupling 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.},
doi = {10.1016/j.nuclphysb.2009.07.003},
journal = {Nuclear Physics. B},
number = 12,
volume = 822,
place = {United States},
year = {2009},
month = {7}
}
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