用Domain Wall費米子探討晶格點量子色動力學裡的強 子質譜

Li-Iang Huang; 黃立仰

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60086

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	Li-Iang Huang	en
dc.contributor.author	黃立仰	zh_TW
dc.date.accessioned	2021-06-16T09:55:10Z	-
dc.date.available	2020-02-08
dc.date.copyright	2017-02-08
dc.date.issued	2016
dc.date.submitted	2016-12-30
dc.identifier.citation	[1] T. W. Chiu, Phys. Rev. Lett. 90, 071601 (2003) [hep-lat/0209153]. [2] T. W. Chiu, Phys. Lett. B 716, 461 (2012) [hep-lat/0303008]. [3] C. Gattringer and C. B. Lang, Quantum chromodynamics on the lattice: an introductory presentation, (Springer, 2009) [4] H. B. Nielsen and M. Ninomiya, Phys. Lett. B 105, 219 (1981). [5] P. H. Ginsparg and K. G. Wilson, Phys. Rev. D 25, 2649 (1982). [6] M. F. Atiyah and I. M. Singer, Annals Math. 87, 484 (1968) ; ibid, 93, 119 (1971). [7] D. B. Kaplan, Phys. Lett. B 288, 342 (1992) [arXiv:hep-lat/9206013]. [8] T. W. Chiu, T. H. Hsieh, C. H. Huang and T. R. Huang, Phys. Rev. D 66, 114502 (2002) [hep-lat/0206007]. [9] H. Neuberger, Phys. Lett. B 417, 141 (1998) [hep-lat/9707022]. [10] R. Narayanan and H. Neuberger, Nucl. Phys. B 443, 305 (1995) [hep- th/9411108]. [11] W. H. Press, S. A. Teukolsky, W. T. Veterrling, B. P. Flannery Numerical Recipes in C The Art of Scientific Computing Second Edition, (Cambridge Uni- versity Press, 1992) [12] K. A. Olive et al. [Particle Data Group Collaboration], Chin. Phys. C 38, 090001 (2014). [13] W. P. Chen et al. [TWQCD Collaboration], Phys. Lett. B 736, 231 (2014) [arXiv:1404.3648 [hep-lat]]. [14] T. W. Chiu and T. H. Hsieh, Nucl. Phys. A 755, 471 (2005) [hep-lat/0501021].
dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60086	-
dc.description.abstract	量子色動力學(Quantum Chromodynamics)是研究強作用力的基礎理論,而晶格點量子色動力學(Lattice QCD)——將時空視為不連續的晶格來研究量子色動力學 ——是由第一原理出發,用非微擾方式解QCD的最可靠方法。在這篇論文中,我們使用趙挺偉教授所計算的夸克傳播子來研究強子的質譜。即使π介子(pion)的質量在這些系統比實驗值重,我們仍然可以在晶格大小為243 × 48下,計算出由魅夸克(charm quark)和奇夸克(strange quark)組成的介子和重子質量。這些質量也與高能實驗結果符合。	zh_TW
dc.description.abstract	Quantum Chromodynamics (QCD) is the fundamental theory for the strong interaction inside the nucleus, 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, using the quark propagators computed by Professor Ting-Wai Chiu, we perform an exploratory study of the hadron mass spectrum in lattice QCD with optimal domain-wall fermion, in 2-flavors QCD on the 243 × 48 lattice. Even the pion masses of these gauge ensembles are unphysically heavy, after extrapolation to Mπ = 140 MeV, the mass spectra of the mesons and baryons containing charm and strange quarks are in good agreement with the high energy experimental results.	en
dc.description.provenance	Made available in DSpace on 2021-06-16T09:55:10Z (GMT). No. of bitstreams: 1 ntu-105-R03245009-1.pdf: 2462311 bytes, checksum: c1779e63986f85409c441198bee7a705 (MD5) Previous issue date: 2016	en
dc.description.tableofcontents	Abstract ii List of Figures viii List of Tables xix Chapter 1 Introduction 1 1.1 ContinuumQCD ............................. 2 1.2 BasicsoflatticeQCD........................... 3 1.2.1 Fermionfieldsonthelattice ................... 3 1.2.2 Wilsonfermion .......................... 5 Chapter 2 Lattice QCD with domain-wall fermion 7 2.1 Chiralsymmetry ............................. 7 2.1.1 Nielson-Ninomiyatheorem.................... 8 2.2 Conventionaldomain-wallFermion ................... 9 2.3 Optimaldomain-wallfermion ...................... 12 Chapter 3 Hadron interpolator and the time-correlation function 15 3.1 Mesons................................... 16 3.2 Baryonswithu,d,squarks ....................... 17 3.3 Charmedbaryons............................. 22 3.4 Momentumprojection .......................... 25 3.5 Hadron mass extraction from the time-correlation function . . . . . . 25 Chapter 4 Data analysis and results 27 4.1 Mesonsmassspectra ........................... 28 4.1.1 u ̄Γu ................................ 28 4.1.2 c ̄Γc................................. 29 4.1.3 c ̄Γs................................. 30 4.1.4 s ̄Γs................................. 34 4.1.5 c ̄Γu................................. 35 4.2 Baryonsmassspectra........................... 36 4.2.1 Lightbaryons(u,d,squarks) ................... 36 4.2.2 Charmedbaryons......................... 44 4.3 Summarytablesforbaryons ....................... 60 4.4 Dispersionrelationsforhadrons ..................... 63 Chapter 5 Discussion and summary 68 Bibliography 70 Chapter A Appendix 72 A.1 γ-matrices................................. 72 A.2 The time-correlation functions and effective masses of hadrons . . . . 73 A.2.1 Meson time-correlation functions and effective masses . . . . . 73 A.2.2 Baryon the time-correlation functions and effective masses . . 88
dc.language.iso	en
dc.subject	數值分析	zh_TW
dc.subject	量子場論	zh_TW
dc.subject	強子質譜	zh_TW
dc.subject	晶格點量子色動力學	zh_TW
dc.subject	Quantum field theory	en
dc.subject	Lattice QCD	en
dc.subject	Numerical Analysis	en
dc.subject	Hadron Spectra	en
dc.title	用Domain Wall費米子探討晶格點量子色動力學裡的強子質譜	zh_TW
dc.title	Hadron Spectrum in Lattice QCD with Two Flavors Domain Wall Fermion	en
dc.type	Thesis
dc.date.schoolyear	105-1
dc.description.degree	碩士
dc.contributor.oralexamcommittee	高涌泉(Yeong-Chuan Kao),賀培銘(Pei-Ming Ho)
dc.subject.keyword	量子場論,強子質譜,晶格點量子色動力學,數值分析,	zh_TW
dc.subject.keyword	Quantum field theory,Hadron Spectra,Lattice QCD,Numerical Analysis,	en
dc.relation.page	101
dc.identifier.doi	10.6342/NTU201603865
dc.rights.note	有償授權
dc.date.accepted	2016-12-30
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

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