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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/71705完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊瑋(Jiunn-Wei Chen) | |
| dc.contributor.author | Wei-Yang Liu | en |
| dc.contributor.author | 劉韋陽 | zh_TW |
| dc.date.accessioned | 2021-06-17T06:07:10Z | - |
| dc.date.available | 2020-11-12 | |
| dc.date.copyright | 2020-11-12 | |
| dc.date.issued | 2020 | |
| dc.date.submitted | 2020-10-24 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/71705 | - |
| dc.description.abstract | 我們從強子的等矢量準部份子分佈函數（isovector quasi parton distribution function）中的氣泡鏈圖研究了重整子歧義（renormalon ambiguity）。我們確認了 Braun Vladimirov 和 Zhang 的推論，即最具貢獻的紅外區重整子歧義在形式上是具有ΛQCD^2/(xPz)^2等級的效應，其中x表示部份子動量分數，Pz表示強子動量。我們還通過指出具有發散前因子的δ(x)貢獻來闡明在重整子歧義中夸克數守恆是如何被滿足的。為了進一步量化這種來自重整子歧義的效應，我們將氣泡鏈圖的計算展開至三圈費曼圖，並發現這些結果在RI/MOM重整化準部份子分佈與MS部份子分佈的匹配核（matching kernel）中表現了出色的收斂性。這表明在該方案（scheme）中，在三圈圖的等級下，重整子不會導致匹配核的微擾展開緩慢收斂。我們同時還證明了使用R方案（R-scheme）可以改善來自最具貢獻的重整子 歧義所導致的緩慢收斂性。 | zh_TW |
| dc.description.abstract | We investigate the renormalon ambiguity from bubble-chain diagrams in the isovector quasi-parton distribution function of a hadron. We confirm the assertion by Braun, Vladimirov and Zhang that the leading IR renormalon ambiguity is formally a twist-4 effect of order ΛQCD^2/(xPz)^2, with x the parton momentum fraction and Pz the hadron momentum. We also clarify how quark number conservation in the renormalon ambiguity is satisfied by identifying a delta-function-like contribution with a divergent prefactor. To further quantify this effect, we study the bubble-chain diagrams to three-loops and find excellent convergence for the matching kernel between the RI/MOM renormalized quasi-parton distribution and the MS-bar parton distribution. This suggests that renormalons do not cause a slow convergence to the perturbative kernel in this scheme at the three-loop order. The improvement of convergence using the R-scheme to remove the leading renormalon ambiguity is also demonstrated. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T06:07:10Z (GMT). No. of bitstreams: 1 U0001-2410202013502100.pdf: 1768106 bytes, checksum: 7f07548cb1c30cddf45abb735751e06d (MD5) Previous issue date: 2020 | en |
| dc.description.tableofcontents | Abstract i List of Figures v 1 Introduction 1 1.1 Parton model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Large momentum effective theory . . . . . . . . . . . . . . . . . 4 1.3 Renormalon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.3.1 Factorization in MS scheme . . . . . . . . . . . . . . . . 7 1.3.2 Borel transform . . . . . . . . . . . . . . . . . . . . . . . 8 1.3.3 Bubble-chain insertion . . . . . . . . . . . . . . . . . . . 9 2 Renormalon Ambiguity in Quasi-PDFs 11 2.1 Borel series with bubble chain insertion . . . . . . . . . . . . . . 11 2.1.1 One-loop diagrams with bubble-chain insertion . . . . . . 13 2.1.2 Borel series of PDF and q-PDF for a single-quark state . . 16 2.2 Renormalon ambiguity in momentum space . . . . . . . . . . . . 18 2.3 Renormalon effect in coordinate space . . . . . . . . . . . . . . . 21 2.4 Bubble-chain contribution in fixed order perturbation . . . . . . . 23 2.4.1 Tree-level result . . . . . . . . . . . . . . . . . . . . . . 24 2.4.2 One-loop result . . . . . . . . . . . . . . . . . . . . . . . 24 2.5 R-scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.5.1 Matching formula in R-scheme . . . . . . . . . . . . . . 34 iii iv CONTENTS 2.5.2 Quasi-PDFs in R-scheme with different P0 z . . . . . . . . 35 3 Conclusion 37 Appendix 39 A Integrals for Feynman parameters . . . . . . . . . . . . . . . . . 39 A.1 Appell hypergeometric function . . . . . . . . . . . . . . 41 A.2 Hypergeometric function . . . . . . . . . . . . . . . . . . 41 A.3 Feynman parameterization integral with expansion . . . 45 B Integrals in the light front . . . . . . . . . . . . . . . . . . . . . . 53 Reference 55 | |
| dc.language.iso | zh-TW | |
| dc.subject | 部分子分布函數 | zh_TW |
| dc.subject | 重整子 | zh_TW |
| dc.subject | 大動量有效理論 | zh_TW |
| dc.subject | 量子色動力學 | zh_TW |
| dc.subject | quantum chromodynamics | en |
| dc.subject | Large momentum effective theory | en |
| dc.subject | parton distribution function | en |
| dc.subject | renormalon | en |
| dc.title | 在準部份子分布中的重整子效應 | zh_TW |
| dc.title | Renormalon Effects in Quasi Parton Distributions | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 109-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.author-orcid | 0000-0003-0938-4832 | |
| dc.contributor.oralexamcommittee | 李湘楠(Hsiang-nan Li),林及仁(Chi-Jen David Lin) | |
| dc.subject.keyword | 量子色動力學,大動量有效理論,部分子分布函數,重整子, | zh_TW |
| dc.subject.keyword | quantum chromodynamics,Large momentum effective theory,parton distribution function,renormalon, | en |
| dc.relation.page | 63 | |
| dc.identifier.doi | 10.6342/NTU202004305 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2020-10-26 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理學研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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