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Gauge-invariant decomposition of meson energy in two-dimensional QCD
Jia Y(贾宇); Yu R(余睿); Jia, Yu; Yu, Rui; Xiong, Xiaonu
Source PublicationPHYSICAL REVIEW D
AbstractThis work is driven by our curiosity about some basic questions in QCD: how is the energy of a moving hadron partitioned among different gauge-invariant sectors in the QCD Hamiltonian? How is the energy of a massless pion separated between quark and gluon sectors, particularly in the soft pion limit? Is it possible to decompose the celebrated Gell-Mann-Oakes-Renner (GOR) relation? To what extent can we justify the quark potential model from the field-theoretical mass decomposition for heavy quarkonium? Due to the limitations of contemporary nonperturbative tools, we do not yet know answers to these questions in realistic QCD. In this work, we take the 't Hooft model (two-dimensional QCD in the large-N limit) as a prototype that mimics some essential aspects of the true QCD. We investigate the gauge-invariant energy decomposition of a flavor-neutral meson that can carry an arbitrary momentum (including the stationary case), with the meson species ranging from the massless pion to bottomonium. All the aforementioned questions can be addressed satisfactorily within this model; in particular, some unexpected patterns related to the pion are discovered for the first time in two-dimensional QCD. We hope that our study can offer some useful clues and stimulation for future investigation of hadron energy decomposition in realistic QCD.
Indexed BySCI
WOS Research AreaAstronomy & Astrophysics ; Physics
WOS SubjectAstronomy & Astrophysics ; Physics, Particles & Fields
WOS IDWOS:000448283600001
ADS Bibcode2018PhRvD..98g4024J
Citation statistics
Cited Times:2 [ADS]
Document Type期刊论文
First Author AffilicationInstitute of High Energy
Recommended Citation
GB/T 7714
Jia Y,Yu R,Jia, Yu,et al. Gauge-invariant decomposition of meson energy in two-dimensional QCD[J]. PHYSICAL REVIEW D,2018,98(7):74024.
APA 贾宇,余睿,Jia, Yu,Yu, Rui,&Xiong, Xiaonu.(2018).Gauge-invariant decomposition of meson energy in two-dimensional QCD.PHYSICAL REVIEW D,98(7),74024.
MLA 贾宇,et al."Gauge-invariant decomposition of meson energy in two-dimensional QCD".PHYSICAL REVIEW D 98.7(2018):74024.
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