# DGLAP evolution equations

> Mediated Wiki article. Canonical URL: https://mediated.wiki/source/DGLAP_evolution_equations
> Markdown URL: https://mediated.wiki/source/DGLAP_evolution_equations.md
> Source: https://en.wikipedia.org/wiki/DGLAP_evolution_equations
> Source revision: 1328903384
> License: Creative Commons Attribution-ShareAlike 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/)

This article relies excessively on references to primary sources. Please improve this article by adding secondary or tertiary sources. Find sources: "DGLAP evolution equations" – news · newspapers · books · scholar · JSTOR (August 2014) (Learn how and when to remove this message)

The **Dokshitzer–Gribov–Lipatov–Altarelli–Parisi** (**DGLAP**) **evolution equations** are equations in [quantum chromodynamics](/source/Quantum_chromodynamics) (QCD) describing the variation of [parton distribution functions](/source/Parton_distribution_function) with varying energy scales.[1] Experimentally observed scaling violation in [deep inelastic scattering](/source/Deep_inelastic_scattering) is important evidence for the correctness of the equations and of QCD in general.[1] The equations were first published in the western world by [Guido Altarelli](/source/Guido_Altarelli) and [Giorgio Parisi](/source/Giorgio_Parisi) in 1977, and so are still sometimes called the **Altarelli–Parisi equations**.[2] Only later did it become known that an equivalent formula had been published in Russia by [Yuri Dokshitzer](https://en.wikipedia.org/w/index.php?title=Yuri_Dokshitzer&action=edit&redlink=1) [[de](https://de.wikipedia.org/wiki/Juri_Lwowitsch_Dokschizer)] in 1977,[3] and by [Vladimir Gribov](/source/Vladimir_Gribov) and [Lev Lipatov](/source/Lev_Lipatov) in 1972.[4]

The DGLAP QCD evolution equations are widely used in global determinations of [parton](/source/Parton_(particle_physics)) distributions, like those from the Coordinated Theoretical-Experimental Project ([CTEQ](/source/Parton_(particle_physics)#Parton_distribution_functions)) or [NNPDF](/source/NNPDF) collaborations.[*[citation needed](https://en.wikipedia.org/wiki/Wikipedia:Citation_needed)*]

## See also

- [Jet (particle physics)](/source/Jet_(particle_physics))

- [HERA](/source/HERA)

- [APFEL (Software)](/source/APFEL_(Software))

## References

1. ^ [***a***](#cite_ref-:0_1-0) [***b***](#cite_ref-:0_1-1) Thomson, Mark (2013). *Modern Particle Physics*. Cambridge, United Kingdom: Cambridge University Press. §8.5.1 Scaling violations, pp. 201-202. [ISBN](/source/ISBN_(identifier)) [978-1-107-03426-6](https://en.wikipedia.org/wiki/Special:BookSources/978-1-107-03426-6). [OCLC](/source/OCLC_(identifier)) [840462909](https://search.worldcat.org/oclc/840462909).

1. **[^](#cite_ref-2)** Altarelli, G.; Parisi, G. (1977-08-08). ["Asymptotic freedom in parton language"](https://dx.doi.org/10.1016%2F0550-3213%2877%2990384-4). *Nuclear Physics B*. **126** (2): 298–318. [Bibcode](/source/Bibcode_(identifier)):[1977NuPhB.126..298A](https://ui.adsabs.harvard.edu/abs/1977NuPhB.126..298A). [doi](/source/Doi_(identifier)):[10.1016/0550-3213(77)90384-4](https://doi.org/10.1016%2F0550-3213%2877%2990384-4). [ISSN](/source/ISSN_(identifier)) [0550-3213](https://search.worldcat.org/issn/0550-3213).

1. **[^](#cite_ref-3)** Yu. L. Dokshitzer. *Sov. Phys. JETP* 46:641 (1977).

1. **[^](#cite_ref-4)** V. N. Gribov, L. N. Lipatov. *Sov. J. Nucl. Phys.* 15:438 (1972).

## Further reading

Martin, Alan D. (2008). ["Proton Structure, Partons, QCD, DGLAP and Beyond"](https://www.actaphys.uj.edu.pl/fulltext?series=Reg&vol=39&page=2025) (PDF). *[Acta Physica Polonica B](/source/Acta_Physica_Polonica_B)*. **39** (9): 2025–2062. [arXiv](/source/ArXiv_(identifier)):[0802.0161](https://arxiv.org/abs/0802.0161). [Bibcode](/source/Bibcode_(identifier)):[2008AcPPB..39.2025M](https://ui.adsabs.harvard.edu/abs/2008AcPPB..39.2025M).

## External links

- Guido Altarelli (2009) [QCD evolution equations for parton densities](http://www.scholarpedia.org/article/QCD_evolution_equations_for_parton_densities). Scholarpedia, 4(1):7124.

This particle physics–related article is a stub. You can help Wikipedia by adding missing information.

- [v](https://en.wikipedia.org/wiki/Template:Particle-stub)
- [t](/source/Template_talk%3AParticle-stub)
- [e](https://en.wikipedia.org/wiki/Special:EditPage/Template:Particle-stub)

---
Adapted from the Wikipedia article [DGLAP evolution equations](https://en.wikipedia.org/wiki/DGLAP_evolution_equations) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/DGLAP_evolution_equations?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.