Quantum Chromodynamics (QCD) is the theory which describes the strong interaction between colored quarks and gluons. Hard QCD small-x evolution of hadron can be described by the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron. The high energy QCD Pomeron in the large Nc limit can also be formulated in terms of the QCD dipole model. In this thesis, single, double and triple BFKL pomeron exchange amplitudes are computed explicitly within the dipole model. Based on the calculation, the general formula gk* 0 = chi-1 (kchi (½)) which governs the anomalous dimension of 1 ⇒ k amplitude is conjectured. As far as the unitarity problem is concerned, we find that the anomalous dimension gamma varies from graph to graph due to the DGLAP evolution. In the end, a comparison between this computation and reggeon field theory is provided.
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