TL;DR
This paper demonstrates that in Schwinger-Keldysh QCD, quantum corrections to classical color fields are effectively classical, with quantum effects confined to initial field fluctuations, and derives the JIMWLK renormalization group equation systematically.
Contribution
It provides a systematic derivation of the JIMWLK equation within Schwinger-Keldysh QCD and clarifies gauge transformation rules and the matter-field Lagrangian.
Findings
Quantum corrections are classical, obeying Jacobi-field equations.
Quantum effects are confined to initial field fluctuations.
Derived the JIMWLK renormalization group equation systematically.
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.
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