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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 趙挺偉(Ting-Wai Chiu) | |
| dc.contributor.author | Shih-Kai Chou | en |
| dc.contributor.author | 周士凱 | zh_TW |
| dc.date.accessioned | 2021-06-16T06:38:48Z | - |
| dc.date.available | 2014-08-04 | |
| dc.date.copyright | 2014-08-04 | |
| dc.date.issued | 2014 | |
| dc.date.submitted | 2014-07-30 | |
| dc.identifier.citation | [1] Kohsuke Yagi,Tetsuo Hatsuda, and Yasuo Miake, Quark-Gluon Plasma, Cambridge University Press, 2005.
[2] Robert D. Pisarski and Frank Wilczek, “Remarks on the Chiral Phase Transition in Chromodynamics”, Phys. Rev. D 29, 338 (1984). [3] Sinya Aoki, Hidenori Fukaya, Yusuke Taniguchi, “1st or 2nd; the Order of Finite Temperature Phase Transition of N_f = 2 QCD from Effective Theory Analysis”, arXiv/1312.1417 [hep-lat] (2013). [4] C. Gattringer and C.B. Lang, Quantum Chromodynamics on the Lattice: An Introductory Presentation, Springer, 2010. [5] A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin, “Pseudoparticle Solutions of the Yang-Mills Euations”, Phys. Lett. B 59, 85 (1975). [6] G. ’t Hooft, “Symmetry Breaking through Bell-Jackiw Anomalies”, Phys. Rev. Lett. 37, 8 (1976); G. ’t Hooft, “Computation of the Quantum Effects due to a Four- Dimensional Pseudoparticle”, Phys. Rev. D 14 3432 (1976); G. ’t Hooft, “Erratum/ Computation of the Quantum Effects due to a Four-Dimensional Pseudoparticle”, Phys. Rev. D 18 2199 (1978). [7] Khalil M. Bitar and Shau-Jin Chang, “Vacuum Tunneling of Gauge Theory in Minkowski Space”, Phys. Rev. D 17, 486 (1978). [8] M. Gell-Mann and M. Levy, “The Axial Vector Current in Bety Decay”, Nuovo Cimento 16, 705 (1960). [9] Jean Zinn-Justin, Quantum Field Theory and Critical Phenomena (Fourth Edition), Oxford University Press, 2002. [10] Frank Wilczek, “Application of the Renormalization Group to a Second-Order QCD Phase Transition”, Int. J. Mod. Phys. A, 07, 3911 (1992) [11] A. Butti, A. Pelissetto, and E. Vicari, “On the Nature of the Finite-Temperature Transition in QCD”, J. High Energy Phys. 08, 029 (2003). [12] Sinya Aoki, Hidenori Fukaya, and Yusuke Taniguch, “Chiral Symmetry Restoration, the Eigenvalue Density of the Dirac Operator, and the Axial U(1) Anomaly at Finite Temperature”, Phys. Rev. D 86, 114512 (2012). [13] A. J. Paterson, “Coleman-Weinberg Symmetry Breaking in the Chiral SU(n) × SU(n) Linear σ Model”, Nucl. Phys. B 190 [FS3], 188 (1981). [14] P. Bak, S. Krinsky, and D. Mukamel, “First-Order Transitions, Symmetry, and the ε Expansion”, Phys. Rev. Lett. 36, 52 (1976). [15] Kleinert Hagen, Verena Schulte-Frohlinde, Critical Properties of φ^4 Theories, World Scientific, 2001. [16] Michael E. Peskin, Dan V. Schroeder, An Introduction To Quantum Field Theory, Westview Press, 1995. [17] Kenneth G. Wilson, “The Renormalization Group and Critical Phenomena”, Rev. Mod. Phys. 55, 583 (1983). [18] N. Goldenfeld, Lectures on Phase Transitions and Critical Phenomena, Westview Press, 1992. [19] Daniel J. Amit, Field Theory, the Renormalization Group, and Critical Phenomena, World Scientific, 1984. [20] Michael Tabor, Chaos and Integrability in Nonlinear Dynamics: An Introduction, Wiley Interscience, 1989. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/57236 | - |
| dc.description.abstract | 量子色動力學 (quantum chromodynamics, QCD) 是一描述夸克和膠子交互作用的基本理論。在零溫度下，N_f 個無質量夸克的手則對稱因 QCD 真空而破缺，且軸 U(1) 對稱因軸畸異 (axial anomaly) 而破缺。手則對稱與軸 U(1) 對稱兩者在高溫時均期望會被還原。在此論文中，我們以 QCD 的等效場論，也就是 N_f = 2 之 SU(N_f) × SU(N_f) 線性 σ 模型，計算其包含所有耦合項的 β 函數至一階迴圈來研究手則對稱與軸 U(1) 對稱的還原。 | zh_TW |
| dc.description.abstract | Quantum chromodynamics (QCD) is the fundamental theory for the interaction between quarks and gluons. At zero temperature, the chiral symmetry of N_f massless quarks is broken by the vacuum of QCD, and the axial U(1) symmetry is broken by the axial anomaly. It is expected that the chiral symmetry and the axial U(1) symmetry both are restored at high temperature. In this thesis, we study the restorations of the chiral symmetry and the axial U(1) symmetry in the effective field theory of QCD, namely, the SU(N_f)_L x SU(N_f)_R linear σ model for N_f = 2, by computing the β functions of all couplings to the one-loop order. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T06:38:48Z (GMT). No. of bitstreams: 1 ntu-103-R99222060-1.pdf: 3331805 bytes, checksum: dcf47b99c3d6a7652ebb1eaafe067bc9 (MD5) Previous issue date: 2014 | en |
| dc.description.tableofcontents | 口試委員審定書 i
誌謝 ii 摘要 iii Abstract iv Introduction 1 Chiral Symmetry in QCD 4 Spontaneous Breaking of Chiral Symmetry 7 The U(1)_A Problem 8 The σ Model 9 The U(N_f)_L x U(N_f)_R Linear σ Model 13 The SU(N_f)_L x SU(N_f)_R Linear σ Model 16 Order of The Chiral Phase Transition 19 The β Function of the SU(2)_L x SU(2)_R Linear σ Model 23 Effects of Approximate U(1)_A Restoration 36 Conclusions 40 Bibliography 41 Appendix 44 The Structure of the β Function 44 The One-Loop Structure of φ4 Theory 46 Dimensional Regularization: The Form of Renormalization Constants 51 Minimal Subtraction Scheme 51 The β Functions with Several Couplings 53 Renormalization Group Analysis 54 The Fixed Point 55 The Stability Matrix 57 | |
| dc.language.iso | zh-TW | |
| dc.subject | 量子色動力學手則相變 | zh_TW |
| dc.subject | 手則對稱 | zh_TW |
| dc.subject | 重整化群 | zh_TW |
| dc.subject | chiral symmetry | en |
| dc.subject | QCD chiral phase transition | en |
| dc.subject | renormalization group | en |
| dc.title | 量子色動力學手則相變之重整化群研究 | zh_TW |
| dc.title | A Study of QCD Chiral Phase Transition with the Renormalization Group | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 102-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 高涌泉(Yeong-Chuan Kao),賀培銘(Pei-Ming Ho) | |
| dc.subject.keyword | 手則對稱,量子色動力學手則相變,重整化群, | zh_TW |
| dc.subject.keyword | chiral symmetry,QCD chiral phase transition,renormalization group, | en |
| dc.relation.page | 59 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2014-07-30 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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