NLO evolution of color dipoles in N=4 SYM

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 $\mathcal{N}$=4 SYM theory. We define the "composite dipole operators" with the rapidity cutoff preserving conformal invariance. The resulting Möbius invariant kernel for these operators agrees with the forward NLO BFKL calculation of Ref. 1.

28 pages, 8 eps figures

References in corpus (6)

• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• The dipole form of the BFKL kernel in supersymmetric Yang--Mills theories
• Conformal kernel for NLO BFKL equation in $\mathcal{N}$=4 SYM
• Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included

Cited by in corpus (2)

• On the discrepancy of the low-x evolution kernels
• Photon 2009: Summary of Theory Talks