Color Glass Condensate in Schwinger-Keldysh QCD

Abstract

Within the Schwinger-Keldysh representation of many-body QCD, it is shown that the leading quantum corrections to the strong classical color field is classical in the sense that the fluctuation field still obeys the classical Jacobi-field equation, while the quantum effects solely resides in the fluctuations of the initial field configurations. Within this context, a systematic derivation of the JIMWLK renormalization group equation is presented. A clear identification of the correct form of gauge transformation rules and the correct form of the matter-field Lagrangian in the Schwinger-Keldysh QCD is also presented.

52 page text plus 20 page appendices. 5 figures

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