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 (65)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Wilson renormalization group for low x physics: towards the high density regime
• BFKL pomeron in the next-to-leading approximation
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Unitarization of the BFKL Pomeron on a Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• Unitarity at small Bjorken x
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Energy Scale(s) and Next-to-leading BFKL Equation
• Saturation and BFKL dynamics in the HERA data at small x
• Unitarity and the BFKL Pomeron
• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Small-x physics in perturbative QCD
• Unitarization of Gluon Distribution in the Doubly Logarithmic Regime at High Density
• Gauge invariant effective action for high-energy processes in QCD
• The Energy Dependence of the Saturation Momentum
• Geometric Scaling above the Saturation Scale
• Triumvirate of Running Couplings in Small-x Evolution
• Solution to the evolution equation for high parton density QCD
• Saturation and Universality in QCD at small x
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Structure function of the nucleus in the perturbative QCD with $N_c\to \infty$ (BFKL pomeron fan diagrams)
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• Universal features of JIMWLK and BK evolution at small x
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• New Scaling at High Energy DIS
• Unitarity Corrections in High Energy QCD
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Parton densities and dipole cross-sections at small x in large nuclei
• Screening effects in the ultrahigh energy neutrino interactions
• Effective Hamiltonian for QCD evolution at high energy
• Unintegrated gluon distribution from modified BK equation
• Nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• From target to projectile and back again: selfduality of high energy evolution
• Non-forward NLO BFKL Kernel
• Towards a new global QCD analysis: low x DIS data from non-linear evolution
• Conformal invariant pomeron interaction in the perurbative QCD with large N_c
• Nucleus-nucleus interaction in the perurbative QCD
• Non-forward BFKL Pomeron at next-to-leading order
• Geometric scaling and QCD evolution
• Conformal bootstrap for the BFKL Pomeron
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• Pomeron loops in zero transverse dimensions
• On the Triple Pomeron Vertex in Perturbative QCD
• Duality and Pomeron effective theory for QCD at high energy and large N_c
• 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
• A Pomeron Approach to Hadron-Nucleus and Nucleus-Nucleus "Soft" Interactions at High Energy
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• Algebraic models for the hierarchy structure of evolution equations at small x
• On the Projectile-Target Duality of the Color Glass Condensate in the Dipole Picture
• On the 'toy model" in the Reggeon field theory
• Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD
• Nonlinear evolution of pomeron and odderon in momentum space
• Boundary conditions in the QCD nucleus-nucleus scattering problem
• Pomeron loops in the perturbative QCD with Large N_c
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$
• How Pomerons Meet in Coloured Glass
• Conformal Invariance of Unitarity Corrections
• Nucleus-nucleus cross-sections and long-range correlations with a local supercritical pomeron
• Diffraction, the Color Glass Condensate and String Theory

Cited by in corpus (11)

• Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach
• 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
• On asymptotic solutions of RFT in zero transverse dimensions
• On QCD RFT corrections to the propagator of reggeized gluons
• On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator
• High energy scattering in Einstein-Cartan gravity
• Local one-dimensional reggeon model of the interaction of pomerons and odderons
• High energy QCD Lipatov's effective action in Euclidean space
• NNLO classical solution for Lipatov's effective action for reggeized gluons