Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$

Abstract

Effective field theory of interacting BFKL pomerons is investigated and Langevin equations for the theory, which arise after the introduction of additional auxiliary field, are obtained. The Langevin equations are considered for the case of interacting BFKL pomerons with both splitting and merging vertexes and for the interaction which includes additional "toy" four pomeron interaction vertex. In the latest case an analogy with the Regge field theory in zero dimensions (RFT-0) was used in order to obtain this "toy" four pomeron interaction vertex. The comparison between the Langevin equations obtained in the frameworks of dipole and RFT approaches is performed, the interpretation of results is given and possible implementation of obtained equations is discussed.

arXiv comment21 pages, 1 figure

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• Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• The BFKL Pomeron Calculus in the dipole approach
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