Renormalization of the gluon distribution function in the background field formalism
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909624192466944 |
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| author | Altinoluk, Tolga Beuf, Guillaume Jalilian-Marian, Jamal |
| author_facet | Altinoluk, Tolga Beuf, Guillaume Jalilian-Marian, Jamal |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11079 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Renormalization of the gluon distribution function in the background field formalism Altinoluk, Tolga Beuf, Guillaume Jalilian-Marian, Jamal High Energy Physics - Phenomenology Nuclear Theory 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. |
| title | Renormalization of the gluon distribution function in the background field formalism |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2305.11079 |