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Partonic quasidistributions in two-dimensional QCD
Jia Y(贾宇); Liang SR(梁爽然); Yu R(余睿); Jia, Y; Liang, SR; Xiong, XN; Yu, R
2018
Source PublicationPHYSICAL REVIEW D
ISSN2470-0010
EISSN2470-0029
Volume98Issue:5Pages:54011
SubtypeArticle
AbstractAs a sequel to our preceding work [Y. Jia et al. J. High Energy Phys. 11 (2017) 151], we carry out a comprehensive comparative study between the quasiparton distribution functions (PDFs), distribution amplitudes (DAs), and their light-cone counterparts for various flavor-neutral mesons in the context of the 't Hooft model, that is, the two-dimensional QCD in the large-N limit. In contrast to the original derivation via diagrammatic techniques exemplified by Dyson-Schwinger and Bethe-Salpeter equations, here we employ the Hamiltonian operator approach to reconstruct the celebrated 't Hooft equation in light-front quantization, and Bars-Green equations in equal-time quantization. The novelty of our derivation is to employ the soft momentum cutoff as the IR regulator. As a virtue of this operator approach, the functional form of the quasidistributions can be transparently built out of the Bars-Green wave functions and the Bogoliubov angle with the aid of bosonization technique. Equipped with various bound-state wave functions numerically inferred by Jia et al. [j. High Energy Phys. 11 (2017) 151], we then investigate how rapidly the quasidistributions approach their light-cone counterparts with the increasing meson momentum. We observe that the light mesons' quasidistributions approach the light-cone distributions at a slower pace than the heavy quarkonia. Curiously, lattice simulations of quasidistributions in four-dimensional QCD also discover this feature. Furthermore, we also compute the partonic light-cone PDF and quasi-PDF to one-loop order in perturbation theory, again employing the momentum cutoff as the IR regulator. We explicitly verify one of the backbones underlying the large momentum effective field theory (LaMET), namely, both quasi-PDFs and light-cone PDFs in QCD(2) indeed possess the same IR behavior at leading order in 1/P-z.
DOI10.1103/PhysRevD.98.054011
WOS KeywordSTRING FIELD-THEORY ; QUANTUM CHROMODYNAMICS ; INFINITE-MOMENTUM ; GAUGE-THEORIES ; LIGHT-CONE ; EXPANSION ; MODEL ; CONFINEMENT ; REALIZATION ; INVARIANT
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics ; Physics
WOS SubjectAstronomy & Astrophysics ; Physics, Particles & Fields
WOS IDWOS:000444208700009
ADS Bibcode2018PhRvD..98e4011J
AXRIV CODE1804
inspireid1667396
Citation statistics
Cited Times:33 [ADS]
Document Type期刊论文
Identifierhttp://ir.ihep.ac.cn/handle/311005/286339
Collection理论物理室
Affiliation中国科学院高能物理研究所
First Author AffilicationInstitute of High Energy
Recommended Citation
GB/T 7714
Jia Y,Liang SR,Yu R,et al. Partonic quasidistributions in two-dimensional QCD[J]. PHYSICAL REVIEW D,2018,98(5):54011.
APA 贾宇.,梁爽然.,余睿.,Jia, Y.,Liang, SR.,...&Yu, R.(2018).Partonic quasidistributions in two-dimensional QCD.PHYSICAL REVIEW D,98(5),54011.
MLA 贾宇,et al."Partonic quasidistributions in two-dimensional QCD".PHYSICAL REVIEW D 98.5(2018):54011.
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