| Full text | |
| Author(s): |
Costa, Caroline S. R.
[1]
;
Freese, Adam
[2, 3]
;
Cloet, Ian C.
[3]
;
El-Bennich, Bruno
[4]
;
Krein, Gastao
[1]
;
Tandy, Peter C.
[5, 6]
Total Authors: 6
|
| Affiliation: | [1] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz, 271 Bloco 2, BR-01140070 Sao Paulo, SP - Brazil
[2] Univ Washington, Dept Phys, Seattle, WA 98195 - USA
[3] Argonne Natl Lab, Phys Div, Lemont, IL 60439 - USA
[4] Univ Cidade Sao Paulo, Lab Fis Teor & Computac, Rua Galvao Bueno 868, BR-01506000 Sao Paulo, SP - Brazil
[5] Kent State Univ, Ctr Nucl Res, Dept Phys, Kent, OH 44242 - USA
[6] Univ Adelaide, Dept Phys, CSSM, Adelaide, SA 5005 - Australia
Total Affiliations: 6
|
| Document type: | Journal article |
| Source: | Physical Review C; v. 104, n. 4 OCT 12 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We construct a quark target model (QTM) to incorporate intrinsic glue into effective low-energy models of QCD, which often contain only quark degrees of freedom. This method guarantees the gauge invariance of observables order by order in the strong coupling. The quark and gluon PDFs for the dressed quarks are obtained in the QTM at leading order. We demonstrate gauge invariance of the results by comparing both covariant and light cone gauges, with the former including an explicit Wilson line contribution. A key finding is that in covariant gauges the Wilson line can carry a significant amount of the light cone momentum. With coupling strength alpha(s) = 0.5 and dressed quark mass M-q = 0.4 GeV, we find quark and gluon momentum fractions of < x >(q) = 0.81 and < x >(g) = 0.19, where the Wilson line contribution to the quark momentum fraction is -0.18. We use the on-shell renormalization scheme and find that at one loop this Wilson line contribution does not depend on the covariant gauge but does vanish in light cone gauge as expected. This result demonstrates that it is crucial to account for Wilson line contributions when calculating quantum correlation functions in covariant gauges. We also consider the impact of a gluon mass using the gauge invariant formalism proposed by Cornwall, and combine these QTM results with two quark-level models to obtain quark and gluon PDFs for the pion. (AU) | |
| FAPESP's process: | 18/25225-9 - São Paulo Research and Analysis Center |
| Grantee: | Sergio Ferraz Novaes |
| Support Opportunities: | Special Projects |
| FAPESP's process: | 18/20218-4 - Quantum Chromodynamics for practitioners: understanding current experiments at Jefferson Lab and preparing the future at the Electron-Ion Collider and the Facility for Antiproton and Ion Research |
| Grantee: | Bruno Omar El Bennich |
| Support Opportunities: | Regular Research Grants |