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

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

2011-05-18

arxiv.org/abs/1105.3673v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

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.

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