請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60084完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 趙挺偉(Ting-Wai Chiu) | |
| dc.contributor.author | Cheng-Hsiang Chang | en |
| dc.contributor.author | 張丞翔 | zh_TW |
| dc.date.accessioned | 2021-06-16T09:55:03Z | - |
| dc.date.available | 2019-02-08 | |
| dc.date.copyright | 2017-02-08 | |
| dc.date.issued | 2016 | |
| dc.date.submitted | 2017-01-03 | |
| dc.identifier.citation | 1. C. Gattringer and C.B. Lang, Quantum Chromodynamics on the Lattice: An Introductory Presentation, (Springer, 2009)
2. William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery, Numerical Recipes in C (2Nd Ed.): The Art of Scienti c Computing, (Cambridge University Press, 1992) 3. D. B. Kaplan, Phys. Lett. B 288, 342 (1992) 4. P. H. Ginsparg and K. G. Wilson, Phys. Rev. D 25,2649 (1982) 5. T. W. Chiu, Phys. Rev. Lett. 90, 071601 (2003) 6. T. W. Chiu, Phys. Lett. B 716, 461 (2012) 7. W. P. Chen et al. [TWQCD Collaboration], Phys. Lett. B 736, 231 (2014) 8. Y. C. Chen and T. W. Chiu [TWQCD Collaboration], Phys. Rev. D 86, 094508 (2012) 9. T. W. Chiu, Pentaquark baryons with hidden charm, July, 2015 10. K. A. Olive et al. [Particle Data Group Collaboration], Chin. Phys. C 38, 090001(2014) 11. R. Aaij et al. [LHCb Collaboration], Phys. Rev. Lett. 115, 072001 (2015) | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60084 | - |
| dc.description.abstract | 在高能物理中，量子色動力學(QCD)是描述強作用力的基本理論，而晶格量子量子色動力學(把QCD引入不連續的時空間晶格中)是從第一原理出發，最可行的方式非微擾地闡明QCD。在這篇論文中，我們用2 flavor的optimal domain-wall 夸克研究介子 (meson) 和重子 (baryon) 的質譜。雖然$pi$介子的質量不是物理上的質量 (約若300 Mev)，但由魅夸克和奇夸克組成的介子與重子看似都能與高能實驗的數值吻合。 | zh_TW |
| dc.description.abstract | Quantum Chromodynamics (QCD) is the fundamental theory for the strong interaction in high energy physics, and lattice QCD (formulating QCD on a discrete space-time lattice) is the most viable way to solve QCD nonperturbatively from the first principles.
In this thesis, we perform an exploratory study of the mass spectrum of mesons and baryons in lattice QCD with $N_f = 2 $ optimal domain-wall quarks. Even though the pion mass of these gauge ensembles are unphysical, about 300 MeV, the mass spectrum of the mesons and baryons containing charm and strange quarks seem to be in good agreement with the high energy experimental values. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T09:55:03Z (GMT). No. of bitstreams: 1 ntu-105-R03245012-1.pdf: 1713061 bytes, checksum: de6e36ad98f4dfdde6563e3304b51fa0 (MD5) Previous issue date: 2016 | en |
| dc.description.tableofcontents | 誌謝 iii
摘要 v Abstract vii 1 Introduction 1 2 Basics of Lattice QCD 3 2.1 Gauge Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Scalar Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Fermion Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 Wilson Fermion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3 Lattice QCD with Domain-wall Fermion 9 3.1 Chiral Symmetry of QCD . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Domain-wall Fermion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 4 Hadrons Interpolators 15 4.1 Meson Interpolators and the Time-Correlation Functions . . . . . . . . . 15 4.2 Baryon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4.2.1 Correlation Function of Baryons . . . . . . . . . . . . . . . . . . 19 4.3 Pentaquark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.3.1 Correlation Function of Pentaquark Interpolators . . . . . . . . . 20 4.4 Dispersion Relation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 5 Data Analysis and Results 23 5.1 Tuning the Charm Quark Mass . . . . . . . . . . . . . . . . . . . . . . . 23 5.2 Meson Spectrum with Jackknife Method . . . . . . . . . . . . . . . . . . 25 5.2.1 c c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 5.2.2 s s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 5.2.3 c s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 5.3 Baryon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 5.3.1 Ωc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 5.3.2 Ωcc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 5.3.3 ++ c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 5.3.4 + cc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 5.3.5 Ωccc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 5.4 Penta-quark . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 5.5 Dispersion Relation of Charmed Baryons . . . . . . . . . . . . . . . . . 64 5.5.1 Ωc (J P = 1/2 + ) . . . . . . . . . . . . . . . . . . . . . . . . . . 66 5.5.2 Ωcc (J P = 1/2 + ) . . . . . . . . . . . . . . . . . . . . . . . . . . 72 5.5.3 Ωccc (J P = 3/2 + ) . . . . . . . . . . . . . . . . . . . . . . . . . . 78 6 Hadron Mass Spectrum 85 6.1 Mass Spectrum of Mesons . . . . . . . . . . . . . . . . . . . . . . . . . 85 6.1.1 c c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 6.1.2 s s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 6.1.3 c s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 6.2 Mass Spectrum of Baryons . . . . . . . . . . . . . . . . . . . . . . . . . 88 6.2.1 Charmed Baryons . . . . . . . . . . . . . . . . . . . . . . . . . . 89 6.2.2 J=3/2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 6.3 Penta-quarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 7 Discussions and Conclusions 93 Bibliography 95 A Gamma Matrices 97 B Detail of Deriving Correlation function 99 B.1 Meson Correlation Function . . . . . . . . . . . . . . . . . . . . . . . . 99 B.2 Baryon Correlation Function . . . . . . . . . . . . . . . . . . . . . . . . 99 | |
| dc.language.iso | en | |
| dc.subject | 量子色動力學 | zh_TW |
| dc.subject | QCD | en |
| dc.title | 在格點量子色動力學下用Domain-Wall夸克探討由魅夸克和奇夸克組成的強子質譜 | zh_TW |
| dc.title | The Mass Spectrum of Hadrons with Strange and Charm in Lattice QCD with Domain-Wall Quarks | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 105-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 賀培銘(Pei-Ming Ho),高涌泉(Yeong-Chuan Kao) | |
| dc.subject.keyword | 量子色動力學, | zh_TW |
| dc.subject.keyword | QCD, | en |
| dc.relation.page | 100 | |
| dc.identifier.doi | 10.6342/NTU201601378 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2017-01-03 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 應用物理研究所 | zh_TW |
| 顯示於系所單位： | 應用物理研究所 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-105-1.pdf 未授權公開取用 | 1.67 MB | Adobe PDF |
系統中的文件，除了特別指名其著作權條款之外，均受到著作權保護，並且保留所有的權利。