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

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:
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
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
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE
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