NLO evolution of color dipoles in N=4 SYM

Chirilli, Giovanni A.; Balitsky, Ian

doi:10.1016/j.nuclphysb.2009.07.003

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

Journal Article · Sat Jul 04 04:00:00 UTC 2009 · Nuclear Physics. B

DOI: https://doi.org/10.1016/j.nuclphysb.2009.07.003 · OSTI ID:979627

Chirilli, Giovanni A. ^[1]; Balitsky, Ian ^[1]

Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 979627

Report Number(s):: JLAB-THY--09-961; DOE/OR/23177--0660

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Journal Issue: 1-2 Vol. 822; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Wilson Loops in Large N Field Theories Maldacena, Juan Physical Review Letters, Vol. 80, Issue 22 https://doi.org/10.1103/PhysRevLett.80.4859	journal	June 1998
From Target to Projectile and Back Again: Self-Duality of High-Energy Scattering Evolution in QCD Kovner, Alex; Lublinsky, Michael Physical Review Letters, Vol. 94, Issue 18 https://doi.org/10.1103/PhysRevLett.94.181603	journal	May 2005

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Conformal symmetry of JIMWLK Evolution at NLO Kovner, Alex; Lublinsky, Michael; Mulian, Yair arXiv https://doi.org/10.48550/arxiv.1401.0374	text	January 2014
NLO JIMWLK evolution unabridged Kovner, Alex; Lublinsky, Michael; Mulian, Yair arXiv https://doi.org/10.48550/arxiv.1405.0418	text	January 2014
Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order Lappi, T.; Mäntysaari, H. arXiv https://doi.org/10.48550/arxiv.1502.02400	text	January 2015
High-energy evolution to three loops Caron-Huot, Simon; Herranen, Matti arXiv https://doi.org/10.48550/arxiv.1604.07417	preprint	January 2016
CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD Contreras, Carlos; Levin, Eugene; Meneses, Rodrigo arXiv https://doi.org/10.48550/arxiv.1607.00832	text	January 2016
Saturation in inclusive production beyond leading logarithm accuracy Stasto, Anna M.; Zaslavsky, David arXiv https://doi.org/10.48550/arxiv.1608.02285	text	January 2016

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

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