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Renormalization of the gluon distribution function in the background field formalism

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arxiv 2305.11079 v2 pith:6PYVPJ4A submitted 2023-05-18 hep-ph nucl-th

classification hep-phnucl-th
keywords gluonbackgrounddistributionevolutionfieldformalismfunctiongauge
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We derive the Leading Order DGLAP 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$

    hep-ph 2025-07 conditional novelty 7.0 of 10

    An exact analytic solution of the revised large-Nc and large-Nf small-x helicity evolution equations in QCD, yielding all-order polarized DGLAP anomalous dimensions and small-x growth intercepts.

  2. One-loop renormalization of quark TMD in the light-cone gauge: CSS evolution

    hep-ph 2025-05 conditional novelty 6.0 of 10

    One-loop renormalization of the quark TMD in the target light-cone gauge with the Mandelstam-Leibbrandt prescription reproduces the CSS evolution equations, with the double log traced to the ML zero-mode in diagrams e...

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