In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term

Details In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term

2005-01-20

arxiv.org/abs/hep-ph/0501198v2

Phys.Rev. D71 (2005) 085004

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, no figures. References added. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.71.085004

We derive corrections to the JIMWLK equation in the regime where the charge density in the hadronic wave function is small. We show that the framework of the JIMWLK equation has to be significantly modified at small densities in order to properly account for the noncommutativity of the charge density operators. In particular the weight function for the calculation of averages can not be real, but is shown to contain the Wess-Zumino term. The corrections to the kernel of the JIMWLK evolution which are leading at small density are resummed into a path ordered exponential of the functional derivative with respect to the charge density operator, thus hinting at intriguing duality between the high and the low density regimes.

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