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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊瑋 | zh_TW |
| dc.contributor.advisor | Jiunn-Wei Chen | en |
| dc.contributor.author | 陳奕先 | zh_TW |
| dc.contributor.author | Yi-Xian Chen | en |
| dc.date.accessioned | 2024-08-15T17:23:26Z | - |
| dc.date.available | 2024-08-16 | - |
| dc.date.copyright | 2024-08-15 | - |
| dc.date.issued | 2024 | - |
| dc.date.submitted | 2024-08-05 | - |
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Pion and kaon distribution amplitudes in the continuum limit. Phys. Rev. D, 102(9):094519, 2020. R. Zhang, H.-W. Lin, and B. Yoon. Probing nucleon strange and charm distributions with lattice QCD. Phys. Rev. D, 104(9):094511, 2021. Y. Zhao. Theoretical Developments of the LaMET Approach to Parton Physics. PoS, LATTICE2019:267, 2020. | - |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/94419 | - |
| dc.description.abstract | 在我們的文章中，首先計算了非局域空間相關函數 (nonlocal spatial correlator)。 然 後， 通 過 傅 里 葉 變 換 得 到 未 重 整 的 準 部 分 子 分 佈 函 數 (quasi-parton distribution function)。接著，通過計算具有重夸克質量的對應項 (counter term)。我們可以將兩者相減以得到重整後的準部分子分佈函數，並而得到匹配核 (matching kernel)。由於重整後的準部分子分佈函數具有有限的一階矩 (first moment)，所以有機會可以調整它，使得最終在晶格計算中得到具有動量守恆性的部分子分佈函數。我們還發現，匹配核的漸近行為在 x → ±∞ 時應該比 1/x 衰減得更快。否則，將有混合 UV(ultra divergence) 發散和加分布 (plus distribution) 的危險。我們在附錄中還展示了未重整和M S方案下準部分子分佈函數的動量守恆性。 | zh_TW |
| dc.description.abstract | In our article, the nonlocal spatial correlator is calculated first. Then, it is applied with the fourier transform to get the unrenormalized quasi-PDF. Then, calculating the counter term with heavy quark mass. We can subtract two of them to get the renormalized quasi-PDF, and then obtain the matching kernel. Since the renormalized quasi-PDF has finite first moment. There is the opportunity to adjust it, and finally, PDF can have momentum conservation in the lattice calculation. We also find that the asymptotic behavior of the matching kernel should decay faster than 1/x when x → ±∞. Otherwise, there will be danger of mixing UV-divergence and the plus distribution. We also show the momentum conservation property for the unrenormalized and M S scheme quasi-PDF in our appendix. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2024-08-15T17:23:26Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2024-08-15T17:23:26Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | 摘要 i
Abstract iii 目次 v 圖次 vii 表次 ix 第一章 Introduction 1 第二章 General formalism 5 2.1 Renormalization of singlet quasi-PDF . . . . . . . . . . . . . . . . . . 6 2.2 Matching formula from the OPE . . . . . . . . . . . . . . . . . . . . . 10 2.3 Momentum conservation property . . . . . . . . . . . . . . . . . . . . 12 2.4 Ratio and Hybrid-ratio scheme . . . . . . . . . . . . . . . . . . . . . . 16 第三章 Calculation of matching coefficient 19 3.1 gluon in gluon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.2 quark in gluon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.3 gluon in quark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.4 quark in quark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 第四章 Results for Matching Factors 29 第五章 Conclusion 33 參考文獻 35 附錄 A — z dependence of self energy diagram 53 附錄 B — Details of the calculation under MS scheme 55 附錄 C — Details of the calculation in mixing regularization 65 | - |
| dc.language.iso | en | - |
| dc.subject | 大動量有效理論 | zh_TW |
| dc.subject | 單重態 | zh_TW |
| dc.subject | 量子色動力學 | zh_TW |
| dc.subject | 部分子分佈函數 | zh_TW |
| dc.subject | quantum chromodynamics | en |
| dc.subject | parton distribution function | en |
| dc.subject | Large momentum effective theory | en |
| dc.subject | singlet | en |
| dc.title | 單重態準部分子分布的匹配因子 | zh_TW |
| dc.title | Matching factors for singlet quasi-parton distribution | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 112-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 沈家賢;川合光;楊廸倫 | zh_TW |
| dc.contributor.oralexamcommittee | Chia-Hsien Shen;Hikaru KAWAI;Di-Lun Yang | en |
| dc.subject.keyword | 量子色動力學,大動量有效理論,部分子分佈函數,單重態, | zh_TW |
| dc.subject.keyword | quantum chromodynamics,Large momentum effective theory,parton distribution function,singlet, | en |
| dc.relation.page | 67 | - |
| dc.identifier.doi | 10.6342/NTU202403084 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2024-08-08 | - |
| dc.contributor.author-college | 理學院 | - |
| dc.contributor.author-dept | 物理學系 | - |
| 顯示於系所單位： | 物理學系 | |
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