All-loop calculation of the Reggeon field theory amplitudes via stochastic model

Abstract

The evolution equations for Green functions of the Reggeon Field Theory (RFT) are equivalent to those of the inclusive distributions for the reaction-diffusion system of classical particles. We use this equivalence to obtain numerically Green functions and amplitudes of the RFT with all loop contributions included. The numerical realization of the approach is described and some important applications including total and elastic proton--proton cross sections are studied. It is shown that the loop diagram contribution is essential but can be imitated in the eikonal cross section description by changing the Pomeron intercept. A role of the quartic Pomeron coupling which is an inherent part of the stochastic model is shown to be negligible for available energies.

In v2: discussion extended and one new figure added within section 4. References added in sections 1 and 6

References in corpus (4)

• Total and diffractive cross sections in enhanced Pomeron scheme
• Diffractive dissociation re-visited for predictions at the LHC
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• On the 'toy model" in the Reggeon field theory

Cited by in corpus (7)

• KLWMIJ Reggeon Field Theory beyond the large $N_c$ limit
• On the model-dependence of the relation between minimum-bias and inelastic proton-proton cross sections
• S-matrix and productions amplitudes in high energy QCD
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• High energy QCD Lipatov's effective action in Euclidean space
• All-loop calculations of total, elastic and single diffractive cross sections in RFT via the stochastic approach