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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳俊瑋 | |
dc.contributor.author | Nien-En Lee | en |
dc.contributor.author | 李念恩 | zh_TW |
dc.date.accessioned | 2021-06-17T00:15:22Z | - |
dc.date.available | 2012-07-18 | |
dc.date.copyright | 2012-07-18 | |
dc.date.issued | 2012 | |
dc.date.submitted | 2012-07-04 | |
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/65920 | - |
dc.description.abstract | 本論文探討某一特定宇稱破缺之強耦合場論系統其流體力學表述之形式。藉
由全像原理中邊界流體與重力之間的對偶關係,來計算此系統所有一階之流體傳 導係數。在本論文中,重力端的拉格朗日量除了包涵了一般之希爾伯特-愛因斯坦 拉格朗日量以及可交換之規範場外,另外加入了電中性之純量場,使其與重力場 與電磁場之陳-賽門斯項耦合。重力端的背景為一帶電荷的黑膜,在其上進行微擾 運算而得所有邊界流體純量、向量及張量模式的傳導係數對溫度的變化關係。 在此論文中分別考慮了兩種不同破壞宇稱的方式。其一為在邊界上加對偶運 算符的來源場使其之宇稱被明確地破壞;其二為使純量場之對偶運算符在某一臨 界溫度下產生凝聚態。此論文探討了這兩種不同系統下之流體傳導係數,並發現 了一些與一般現實物質中不同的特性。 | zh_TW |
dc.description.abstract | We construct a 3+1 dimensional holographic model dual to a parity violating hydrodynamics system in 2+1 dimensions. The model contains the usual Hilbert-Einstein action with negative cosmological constant and the U(1) gauge field. In addition, there is neutral pseudo scalar field coupled to the gravitational and electromagnetic Chern-Simons term with quartic potential. The background is a charged black brane. We study the hydrodynamics to first order in derivatives near the probe limit of the pseudo scalar, by extracting the transport coefficients from the scalar, vector and tensor modes of bulk perturbations. We study two mechanisms for breaking the parity symmetry on the boundary. Parity is either spontaneously broken by the nonzero condensate of the boundary operator dual to the pseudo scalar or explicitly broken by the source to the operator. The resulting transport coefficients have exotic behaviors compared to those in ordinary materials. | en |
dc.description.provenance | Made available in DSpace on 2021-06-17T00:15:22Z (GMT). No. of bitstreams: 1 ntu-101-R99222006-1.pdf: 5414922 bytes, checksum: 8fd708aba4905fadc6bb0fab9c03d1ab (MD5) Previous issue date: 2012 | en |
dc.description.tableofcontents | 口試委員會審定書 #
ACKNOWLEDGEMENT i 中文摘要 ii ABSTRACT iii CONTENTS iv LIST OF FIGURES v Chapter 1 Introduction 1 Chapter 2 Hydrodynamics with Broken Parity in 2+1 Dimensions 5 Chapter 3 The Holographic Set-up and the Derivative Expansion 7 Chapter 4 Transport Coefficients of Parity Violating Fluid in 2+1 Dimensions from Gravity 12 4.1 Scalar Mode 14 4.2 Vector Mode 19 4.2.1 Parity-even Part 19 4.2.2 Parity-odd Part 22 4.3 Tensor Mode 26 4.3.1 Parity-even Part 26 4.3.2 Parity-odd Part 30 Chapter 5 Disccusion and Conclusion 33 Appendix A Calculation of the first order scalar mode 35 Appendix B Calculation of the first order vector mode 37 REFERENCE 39 | |
dc.language.iso | en | |
dc.title | 宇稱破缺之全像二維流體 | zh_TW |
dc.title | Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography | en |
dc.type | Thesis | |
dc.date.schoolyear | 100-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 賀培銘,陳恆榆,溫文鈺 | |
dc.subject.keyword | 強耦合流體力學,流體/重力對偶,霍爾黏滯係數,宇稱破缺之二維傳導係數,全像原理, | zh_TW |
dc.subject.keyword | Fluid/Gravity Correspondence,AdS/CFT,Parity Violating hydrodynamics,Hall Viscosity,Transport Coefficients, | en |
dc.relation.page | 45 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2012-07-04 | |
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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