The renormalization group equation for the color glass condensate. (English) Zbl 0977.81528

Iancu, E.; Leonidov, A.; McLerran, L.

Phys. Lett., B 510, No. 1-4, 133-144 (2001).

Summary: 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.

MSC:

81V05	Strong interaction, including quantum chromodynamics
81T17	Renormalization group methods applied to problems in quantum field theory

Keywords:

effective theory quantum evolution; functional Fokker-Planck equation; leading log approximation

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