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Title: NLO evolution of color dipoles in N=4 SYM

Abstract

Here, 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.

Authors:
 [1];  [1]
  1. 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, Newport News, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
979627
Report Number(s):
JLAB-THY-09-961; DOE/OR/23177-0660
Journal ID: ISSN 0550-3213; TRN: US1003238
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 822; Journal Issue: 1-2; Journal ID: ISSN 0550-3213
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; high-energy 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, 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.},
doi = {10.1016/j.nuclphysb.2009.07.003},
journal = {Nuclear Physics. B},
number = 1-2,
volume = 822,
place = {United States},
year = {2009},
month = {7}
}

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