Work

Renormalization of the gluon distribution function in the background field formalism

Year: 2025

Type: article

Abstract: We derive the leading order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution of gluon distribution function in the target light cone gauge starting from its standard operator definition. The derivation is performed using the background field formalism also employed in the color glass condensate effective theory of small x QCD. We adopt Mandelstam-Leibbrandt prescription to regulate in an unambiguous way the spurious singularity appearing in the light-cone gauge Feynman propagator. UV divergences are regulated via dimensional regularization. The methods introduced in this paper represent the first steps in the construction of a unified framework for QCD evolution, which could address collinear physics as well as small x physics and gluon saturation.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/mxtj-vblf

Authors: Tolga Altinoluk, Guillaume Beuf, Jamal Jalilian-Marian

Institutions: National Centre for Nuclear Research, The Graduate Center, CUNY, Baruch College, City University of New York

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid