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.

21 pages, 1 figure

References in corpus (6)

• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• On the 'toy model" in the Reggeon field theory
• Conformal invariant equations for nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• The BFKL Pomeron Calculus: Probabilistic Interpretation and High Energy Amplitude

Cited by in corpus (7)

• Summing Pomeron loops in the dipole approach
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• The BFKL Pomeron Calculus in the dipole approach
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• Gluon density and $F_2$ functions from BK equation with impact parameter dependence
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• BFKL ansatz for BK equation in conformal basis