Nuclear Physics Seminar

On the anomalous dimensions of the multiple pomeron exchanges

Bo-Wen Xiao (Columbia U.)

High energy hard scattering in large $N_{c}$ limit can be described by the QCD dipole model. In this seminar, I will first give a brief introduction to BFKL Pomeron, and Mueller's dipole model as well as Kovchegov equation. Then, their applications in phenomenology also will be discussed. Later, I would like to focus on my recent work on the anomalous dimensions of the multiple Pomeron exchanges. In this work, single, double and triple BFKL pomeron exchange amplitudes are computed explicitly within the dipole model. Based on the calculation, a general formula which governs the anomalous dimension of the k-Pomeron exchanges amplitude in dipole-nucleus scattering is conjectured. As far as the unitarity problem is concerned, we find that the anomalous dimension 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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