BFKL ansatz for BK equation in conformal basis

Abstract

The BK equation in the conformal basis is considered and analyzed. It is shown that at high energy a factorization of the coordinate and rapidity dependence should hold. This allows to simplify significantly the from of the equation under discussion. An analytical ansatz for the solution to the BK equation at high energies is proposed and analyzed. This analytical ansatz satisfies the initial condition at low energy and does not depend on both rapidity and the initial condition in the high energy limit. The case of the final rapidity being not too large is discussed and the properties of the transition region between small and large final rapidities have been studied.

21 pages

References in corpus (39)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• BFKL pomeron in the next-to-leading approximation
• Unitarization of the BFKL Pomeron on a Nucleus
• Unitarity at small Bjorken x
• Energy Scale(s) and Next-to-leading BFKL Equation
• Geometric scaling for the total gamma^* p cross section in the low x region
• Small-x physics in perturbative QCD
• The Energy Dependence of the Saturation Momentum
• Geometric Scaling above the Saturation Scale
• Geometric scaling as traveling waves
• Solution to the evolution equation for high parton density QCD
• Traveling wave fronts and the transition to saturation
• Structure function of the nucleus in the perturbative QCD with $N_c\to \infty$ (BFKL pomeron fan diagrams)
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• Universal features of JIMWLK and BK evolution at small x
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• New Scaling at High Energy DIS
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Universality and tree structure of high energy QCD
• Parton densities and dipole cross-sections at small x in large nuclei
• Nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• Interactions of Reggeized Gluons in the Möbius Representation
• Non-forward NLO BFKL Kernel
• Conformal invariant pomeron interaction in the perurbative QCD with large N_c
• Nucleus-nucleus interaction in the perurbative QCD
• Non-forward BFKL Pomeron at next-to-leading order
• Geometric scaling and QCD evolution
• Conformal bootstrap for the BFKL Pomeron
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• Dual Shapiro-Virasoro amplitudes in the QCD dipole picture
• QCD Saturation in the Semi-classical Approach
• A Pomeron Approach to Hadron-Nucleus and Nucleus-Nucleus "Soft" Interactions at High Energy
• Correlation of small-x gluons in impact parameter space
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• Comparison of hadronic rescattering calculations of elliptic flow and HBT with measurements from RHIC
• Conformal invariant equations for nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• Nonlinear evolution of pomeron and odderon in momentum space
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$

Cited by in corpus (2)

• Quantitative study of the transverse correlation of soft gluons in high energy QCD
• Gluon density and $F_2$ functions from BK equation with impact parameter dependence