High energy factorization in nucleus-nucleus collisions

Abstract

We derive a high energy factorization theorem for inclusive gluon production in A+A collisions. Our factorized formula resums i) all order leading logarithms (g^2 \ln(1/x_{1,2}))^n of the incoming partons momentum fractions, and ii) all contributions (g ρ_{1,2})^n that are enhanced when the color charge densities in the two nuclei are of order of the inverse coupling-- ρ_{1,2}\sim g^{-1}. The resummed inclusive gluon spectrum can be expressed as a convolution of gauge invariant distributions W[ρ_{1,2}] from each of the nuclei with the leading order gluon number operator. These distributions are shown to satisfy the JIMWLK equation describing the evolution of nuclear wavefunctions with rapidity. As a by-product, we demonstrate that the JIMWLK Hamiltonian can be derived entirely in terms of retarded light cone Green's functions without any ambiguities in their pole prescriptions. We comment on the implications of our results for understanding the Glasma produced at early times in A+A collisions at collider energies.

55 pages, 14 postscript figures

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Cited by in corpus (7)

• High energy factorization in nucleus-nucleus collisions II - Multigluon correlations
• High energy factorization in nucleus-nucleus collisions III. Long range rapidity correlations
• Three-particle correlation from glasma flux tubes
• From Glasma to Quark Gluon Plasma in heavy ion collisions
• Two-Gluon Production and Longitudinal Correlations in the Color Glass Condensate
• Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included
• The glasma initial state and JIMWLK factorization