A zero-dimensional model for high-energy scattering in QCD

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dc.creatorBlaizot, J. -P.
dc.creatorIancu, E.
dc.creatorTriantafyllopoulos, D. N.
dc.date2006-06-23
dc.date2006-08-02
dc.date.accessioned2026-07-07T10:25:02Z
dc.date.available2026-07-07T10:25:02Z
dc.descriptionWe investigate a zero-dimensional toy model originally introduced by Mueller and Salam which mimics high-energy scattering in QCD in the presence of both gluon saturation and gluon number fluctuations, and hence of Pomeron loops. Unlike other toy models of the reaction-diffusion type, the model studied in this paper is consistent with boost invariance and, related to that, it exhibits a mechanism for particle saturation close to that of the JIMWLK equation in QCD, namely the saturation of the emission rate due to high-density effects. Within this model, we establish the dominant high-energy behaviour of the S-matrix element <S^n> for the scattering between a target obtained by evolving one particle and a projectile made with exactly n particles. Remarkably, we find that all such matrix elements approach the black disk limit S=0 at high rapidity Y, with the same exponential law: <S^n> ~ exp(-Y) for all values of n. This is so because the S-matrix is dominated by rare target configurations which involve only few particles. We also find that the bulk distribution for a saturated system is of the Poisson type.
dc.description34 pages, 9 figures. Some explanations added on the frame-dependence of the relevant configurations (new section 3.3)
dc.identifierhttps://arxiv.org/abs/hep-ph/0606253
dc.identifierhttp://arxiv.org/abs/hep-ph/0606253
dc.identifierNucl.Phys.A784:227-258,2007
dc.identifierdoi:10.1016/j.nuclphysa.2006.11.127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176404
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA zero-dimensional model for high-energy scattering in QCD
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