# 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:

- 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}

}