Work

Traveling waves and the renormalization group improved Balitsky-Kovchegov equation

Year: 2007
Type: article
Abstract: I study the incorporation of renormalization group (RG) improved BFKL kernels in the Balitsky-Kovchegov (BK) equation which describes parton saturation. The RG improvement takes into account important parts of the next-to-leading and higher-order logarithmic corrections to the kernel. The traveling wave front method for analyzing the BK equation is generalized to deal with RG-resummed kernels, restricting to the interesting case of fixed QCD coupling. The results show that the higher-order corrections suppress the rapid increase of the saturation scale with increasing rapidity. I also perform a diffusive differential equation approximation, which illustrates that some important qualitative properties of the kernel change when including RG corrections.
Language: English
Open Access status: green
OpenAlex ID: W1507097816
FWCI: 1.595
Cites: 49
Cited by: 16
Related to: 20