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Title: Traveling waves and the renormalization group improved Balitsky-Kovchegov equation

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.

Authors:
 [1]
  1. Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)
Publication Date:
OSTI Identifier:
20933226
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014012; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; CORRECTIONS; DIFFERENTIAL EQUATIONS; PARTICLE RAPIDITY; QUANTUM CHROMODYNAMICS; RENORMALIZATION; TRAVELLING WAVES

Citation Formats

Enberg, Rikard. Traveling waves and the renormalization group improved Balitsky-Kovchegov equation. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.014012.
Enberg, Rikard. Traveling waves and the renormalization group improved Balitsky-Kovchegov equation. United States. doi:10.1103/PHYSREVD.75.014012.
Enberg, Rikard. Mon . "Traveling waves and the renormalization group improved Balitsky-Kovchegov equation". United States. doi:10.1103/PHYSREVD.75.014012.
@article{osti_20933226,
title = {Traveling waves and the renormalization group improved Balitsky-Kovchegov equation},
author = {Enberg, Rikard},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.014012},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}