Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams

Abstract

Toy models of interacting Pomerons with triple and quaternary Pomeron vertices in zero transverse dimension are investigated. Numerical solutions for eigenvalues and eigenfunctions of the corresponding Hamiltonians are obtained, providing the quantum solution for the scattering amplitude in both models. The equations of motion for the Lagrangians of the theories are also considered and the classical solutions of the equations are found. Full two-point Green functions ("effective" Pomeron propagator) and amplitude of diffractive dissociation process are calculated in the framework of RFT-0 approach. The importance of the loops contribution in the amplitude at different values of the model parameters is discussed as well as the difference between the models with and without quaternary Pomeron vertex.

34 pages, 36 figures

References in corpus (11)

• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• A zero-dimensional model for high-energy scattering in QCD
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• On the 'toy model" in the Reggeon field theory
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$
• Nucleus-nucleus cross-sections and long-range correlations with a local supercritical pomeron