Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach

Abstract

We discuss application of formalism of small-$x$ effective action for reggeized gluons, \cite{Gribov,LipatovEff,BFKL}, for the calculation of classical gluon field of relativistic color charge, similarly to that done in CGC approach of \cite{Venug,Kovner}. The equations of motion with the reggeon fields are solved in LO and NLO approximations and new solutions are found. The results are compared to the calculations performed in the CGC framework and it is demonstrated that the LO CGC results for the classical field are reproduced in our calculations. Possible applications of the NLO solution in the effective action and CGC frameworks are discussed as well.

arXiv comment15 pages

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Cited by in corpus (13)

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• The Color Glass Condensate formalism, Balitsky-JIMWLK evolution and Lipatov's high energy effective action
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons
• S-matrix and productions amplitudes in high energy QCD
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• On correlators of Reggeon fields and operators of Wilson lines in high energy QCD
• CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• High energy QCD Lipatov's effective action in Euclidean space
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• NNLO classical solution for Lipatov's effective action for reggeized gluons