Document Type

Article

Publication Date

2009

DOI

10.1016/j.nuclphysb.2009.07.003

Publication Title

Nuclear Physics B

Volume

822

Issue

1-2

Pages

45-87

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 N = 4 SYM theory. We define the "composite dipole operators" with the rapidity cutoff preserving conformal invariance. The resulting Mobius-invariant kernel for these operators agrees with the forward NLO BFKL calculation of [A.V. Kotikov. L.N. Lipatov, Nucl. Phys. B 582 (2000) 19; A.V. Kotikov, L.N. Lipatov, Nucl. Phys. B 661 (2003) 19; A.V. Kotikov, L.N. Lipatov. Nucl. Phys. B 685 (2004) 405, Erratum].

Original Publication Citation

Balitsky, I., & Chirilli, G. A. (2009). Nlo evolution of color dipoles in N = 4 SYM. Nuclear Physics B, 822(1–2), 45-87. doi:10.1016/j.nuclphysb.2009.07.003

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