Pomeron loops in zero transverse dimensions

Abstract

We analyze a toy model which has a structure similar to that of the recently found QCD evolution equations, but without transverse dimensions. We develop two different but equivalent methods in order to compute the leading-order and next-to-leading order Pomeron loop diagrams. In addition to the leading-order result which has been derived from Mueller's toy model~\cite% {Mueller:1994gb}, we can also calculate the next-to-leading order contribution which provides the $({\alpha }_s^2\alpha Y)$ correction. We interpret this result and discuss its possible implications for the four-dimensional QCD evolution.

11 pages, 4 figures

References in corpus (19)

• Universal behavior of QCD amplitudes at high energy from general tools of statistical physics
• A Langevin equation for high energy evolution with pomeron loops
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• Towards a symmetric approach to high energy evolution: generating functional with Pomeron loops
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• Effective Hamiltonian for QCD evolution at high energy
• Non-linear QCD evolution with improved triple-pomeron vertices
• From target to projectile and back again: selfduality of high energy evolution
• Remarks on High Energy Evolution
• Dense-Dilute Duality at work: dipoles of the target
• The high energy asymptotics of scattering processes in QCD
• More Remarks on High Energy Evolution
• Fluctuations effects in high-energy evolution of QCD
• Duality and Pomeron effective theory for QCD at high energy and large N_c
• Inclusive Gluon Production In High Energy Onium-Onium Scattering
• On the Probabilistic Interpretation of the Evolution Equations with Pomeron Loops in QCD
• High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
• On the Projectile-Target Duality of the Color Glass Condensate in the Dipole Picture
• Color dipoles from Bremsstrahlung in QCD evolution at high energy

Cited by in corpus (30)

• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Summing Pomeron loops in the dipole approach
• Treading on the cut: Semi inclusive observables at high energy
• Classical and quantum entropy of parton distributions
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• On possible implications of gluon number fluctuations in DIS data
• 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
• Quantum chromodynamics at high energy and statistical physics
• A zero-dimensional model for high-energy scattering in QCD
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• One-dimensional model for QCD at high energy
• QCD unitarity constraints on Reggeon Field Theory
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• On correlations and discreteness in non-linear QCD evolution
• Total gluon shadowing due to fluctuation effects
• The JIMWLK evolution and the s-channel unitarity
• Diffractive dissociation including pomeron loops in zero transverse dimensions
• Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions
• The BFKL Pomeron Calculus in zero transverse dimensions: diffractive processes and survival probability for central diffractive production
• On asymptotic solutions of RFT in zero transverse dimensions
• Dense-dilute factorization for a class of stochastic processes and for high energy QCD
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• Dipole-dipole scattering amplitude in CGC approach
• On the anomalous dimensions of the multiple pomeron exchanges
• Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections
• Effects of gluon number fluctuations on photon - photon collisions at high energies
• Can $1/N_c$ corrections destroy the saturation of dipole densities?
• High energy QCD Lipatov's effective action in Euclidean space