Conformal invariance and QCD Pomeron vertices in the $1/N_c$ limit

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, LATEX file, 1 .eps figure

Scientific paper

10.1016/S0550-3213(99)00165-0

Using the dipole framework for QCD at small x in the 1/N_c limit, we derive the expression of the 1 -> p dipole multiplicity density in momentum space. This gives an analytical expression for the 1 -> p QCD Pomeron amplitudes in terms of one-loop integration of effective vertices in transverse momentum. Conformal invariance and a Hilbert space construction for dipole correlation functions are the main tools of the derivation. Relations with conformal field theories in the classical limit are discussed.

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