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| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 趙挺偉(Ting-Wai Chiu) | |
| dc.contributor.author | Kun-Min Liu | en |
| dc.contributor.author | 劉崑民 | zh_TW |
| dc.date.accessioned | 2021-06-13T03:15:57Z | - |
| dc.date.available | 2011-08-03 | |
| dc.date.copyright | 2011-08-03 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-07-29 | |
| dc.identifier.citation | [1] M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics. Clarendon Press, Oxford, New York, 1999.
[2] N. Metropolis et al.: J. Chem. phys. 21, 1087 (1953). [3] M. Creutz: Phys. Rev. D 21, 2308 (1980). [4] S. Duane, A. D. Kennedy, B. J. Pendleton and D. Roweth, Phys. Lett. B 195, 216 (1987). [5] Matsumoto, M. and Nishimura, T. (1998). Mersenne twister: a 623- dimensionally equidistributed uniform pseudo-random number generator, ACM Transactions on Modeling and Computer Simulation 8, pp.3-30. [6] Alexander K. Hartmann, Practical Guide to Computer Simulations. World Scientific Publishing Co. Pte. Ltd., 2009. [7] T. W. Chiu, Phys. Lett. B 245, 570 (1990). [8] S. Necco and R. Sommer, Nucl. Phys. B 622, 328 (2002) 65, 67 [9] Philip R. Bevington, D. Keith Robinson, Data Reduction and Error Analysis for the Physical Sciences. McGraw-Hill Companies, New York, 2003. [10] G. 't Hooft, Nucl. Phys. B 153, 141 (1979) 305 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/31618 | - |
| dc.description.abstract | 在這篇論文裡，我們探討在有限溫度下純 SU(3) 規範場的相變。而我們運用 hybrid Monte Carlo 演算法去模擬在有限溫度下的quenched QCD，其中我們是把威爾遜規範函式放在 16^3 × 6 的格點上。對於純 SU(3) 規範場而言，從波利亞科夫環圈和它的極化率，我們得知臨界溫度 Tc = 274 ± 1 MeV ，其值很接近被廣為接受的數值 Tc ~ 270 MeV 。 | zh_TW |
| dc.description.abstract | In this thesis, we study the finite temperature phase transition of the pure SU(3) gauge theory. We use the hybrid Monte Carlo method to simulate the quenched QCD at finite temperature, with Wilson gauge action on the 16^3 × 6 lattice. From the Polyakov loop and its susceptibility, we determine the value of the critical temperature Tc = 274 ± 1 MeV, in agreement with the widely accepted value of Tc ~ 270 MeV for pure SU(3) gauge theory. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T03:15:57Z (GMT). No. of bitstreams: 1 ntu-100-R96222019-1.pdf: 10089880 bytes, checksum: 602505b6858298fc79cb9092cc9ea1dc (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | 1 Introduction 1
1.1 QCD in the continuum . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Wilson gauge action . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 Wilson and Polyakov loops 6 2.1 Wilson loop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Polyakov loop and finite temperature phase transition . . . . . . . . . 8 3 Monte Carlo method 11 3.1 Basic concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.2 Hybrid Monte Carlo algorithm . . . . . . . . . . . . . . . . . . . . . . 12 4 Data analysis 16 4.1 Statistical analysis of uncorrelated data . . . . . . . . . . . . . . . . . 16 4.2 Autocorrelation of the data from Monte Carlo simulation . . . . . . . 17 5 Simulation details and results 18 5.1 Performance of GSL random number generator . . . . . . . . . . . . 18 5.1.1 Performance of MT19937 for the uniform distribution . . . . . 19 5.1.2 Performance of MT19937 for the Gaussian distribution . . . . 20 5.2 Simulation at weak and strong couplings . . . . . . . . . . . . . . . . 21 5.2.1 Plaquette value at weak coupling . . . . . . . . . . . . . . . . 21 5.2.2 Plaquette value at strong coupling . . . . . . . . . . . . . . . . 22 5.3 Simulation for quenched QCD at finite temperature . . . . . . . . . . 25 5.3.1 Details of the simulation . . . . . . . . . . . . . . . . . . . . . 25 5.3.2 Results of the simulation . . . . . . . . . . . . . . . . . . . . . 27 5.3.3 Discussion of the simulation . . . . . . . . . . . . . . . . . . . 39 6 Conclusion 40 A Euclidean correlators 41 B Relation to statistical mechanics 44 C Formula for Wilson gauge force 46 Bibliography 49 | |
| dc.language.iso | en | |
| dc.subject | 波利亞科夫環圈 | zh_TW |
| dc.subject | 量子色動力學 | zh_TW |
| dc.subject | 純規範場理論 | zh_TW |
| dc.subject | 威爾遜規範函式 | zh_TW |
| dc.subject | 蒙地卡羅演算法 | zh_TW |
| dc.subject | 有限溫度量子場論 | zh_TW |
| dc.subject | QCD | en |
| dc.subject | hybrid Monte Carlo method | en |
| dc.subject | Wilson gauge action | en |
| dc.subject | pure gauge theory | en |
| dc.subject | Polyakov loop | en |
| dc.subject | finite temperature QFT | en |
| dc.title | 以蒙地卡羅法模擬在有限溫度下的 Quenched QCD | zh_TW |
| dc.title | Monte Carlo Simulation of Quenched QCD at Finite Temperature | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 高涌泉(Yeong-Chuan Kao),謝東翰(Tung-Han Hsieh) | |
| dc.subject.keyword | 量子色動力學,純規範場理論,威爾遜規範函式,蒙地卡羅演算法,有限溫度量子場論,波利亞科夫環圈, | zh_TW |
| dc.subject.keyword | QCD,pure gauge theory,Wilson gauge action,hybrid Monte Carlo method,finite temperature QFT,Polyakov loop, | en |
| dc.relation.page | 49 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2011-07-29 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| Appears in Collections: | 物理學系 | |
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| File | Size | Format | |
|---|---|---|---|
| ntu-100-1.pdf Restricted Access | 9.85 MB | Adobe PDF |
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