The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons

Abstract

We discuss the high energy scattering of hadrons with the multi - Regge kinematics. The effective $2D$ model for the interaction between the produced hard gluons appears as a result of the dimensional reduction, which is similar to the dimensional reduction $3+1$ D $\to 3$ D of the high temperature gauge theory. It is demonstrated that being supplemented by the exchange by virtual $3+1$ D gluons this $2D$ model gives rise to the hermitian version of the effective action of Lipatov for the interaction between the ordinary and the reggeized gluons.

16 pages, Latex

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Cited by in corpus (9)

• Computing one-loop corrections to effective vertices with two scales in the EFT for Multi-Regge processes in QCD
• The Color Glass Condensate formalism, Balitsky-JIMWLK evolution and Lipatov's high energy effective action
• S-matrix and productions amplitudes in high energy QCD
• On correlators of Reggeon fields and operators of Wilson lines in high energy QCD
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• On QCD RFT corrections to the propagator of reggeized gluons
• High energy scattering in Einstein-Cartan gravity
• High energy QCD Lipatov's effective action in Euclidean space
• NNLO classical solution for Lipatov's effective action for reggeized gluons