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Title One-loop structure of parton distribution for the gluon condensate and ``zero modes''
Authors Anatoly Radyushkin, Shuai Zhao
JLAB number JLAB-THY-21-3520
LANL number (None)
Other number DOE/OR/23177-5393
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Journal of High Energy Physics
Volume 12
Issue 2021
Page(s) 10
Refereed
Publication Abstract: We present results for one-loop corrections to the 'gluon condensate' PDF F(x) introduced by X. Ji. To enforce strict compliance with the gauge invariance requirements, we have used on-shell states for external gluons, and have obtained identical results both in Feynman and light-cone gauges. No ``zero mode'' \delta (x)$ terms were found for the twist-4 gluon PDF F(x). However a q^2 \delta (x) term was found for the \xi=0 GPD F(x,q^2) at nonzero momentum transfer q. Overall, our result is in drastic disagreement with an earlier attempt of one-loop calculation for F(x), which sets alarm warning for lattice renormalization procedures that use matrix elements with highly virtual external gluons.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1007/JHEP12(2021)010
Accepted Manuscript: JHEP12(2021)010.pdf
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