Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-02-01
Phys.Lett.B510:133-144,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, more details on intermediate calculations. Final version, to appear in Physics Letters B
Scientific paper
10.1016/S0370-2693(01)00524-X
We present an explicit and simple form of the renormalization group equation which governs the quantum evolution of the effective theory for the Color Glass Condensate (CGC). This is a functional Fokker-Planck equation for the probability density of the color field which describes the CGC in the covariant gauge. It is equivalent to the Euclidean time evolution equation for a second quantized current-current Hamiltonian in two spatial dimensions. The quantum corrections are included in the leading log approximation, but the equation is fully non-linear with respect to the generally strong background field. In the weak field limit, it reduces to the BFKL equation, while in the general non-linear case it generates the evolution equations for Wilson-line operators previously derived by Balitsky and Kovchegov within perturbative QCD.
Iancu Edmond
Leonidov Andrei
McLerran Larry
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