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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/80843完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 黃宇廷(Yu-Tin Huang) | |
| dc.contributor.author | Chun-Yu Liu | en |
| dc.contributor.author | 柳君諭 | zh_TW |
| dc.date.accessioned | 2022-11-24T03:18:45Z | - |
| dc.date.available | 2021-11-08 | |
| dc.date.available | 2022-11-24T03:18:45Z | - |
| dc.date.copyright | 2021-11-08 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-10-04 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/80843 | - |
| dc.description.abstract | "在這篇論文中，我們從兩個不同的出發點討論量子重力給予我們的規範限制。我們將此論文分成兩個部份來討論這兩個出發點。在第一部分，我們研究開弦散射振幅，它同時是時空間中的S-矩陣以及二維全純保角場論。我們先從一個disk積分加上Koba-Nielsen因子出發，在考慮交換對稱以及留數分解的情況下，我們發現該積分可以被展開在SL(2,R)保角區塊。再加入正定條件以及么正性的情況下，我們得知該積分必須為SL(2,R)保角區塊的線性組合，而且Virasoro區塊就落在該解集合的紐折。換句話說，Virasoro區塊正落在邊界上。接著我們考慮低能量的有效場論，在此幺正性展現在耦合存在於EFThedron之中。從Koba-Nielsen窺見，Worldsheet的存在即表示我們的積分具有代數給予的單調關係。我們在有限的微分數底下呈現出單調關係及四維EFThedron兩者對於耦合的條件的交集，這個區域極為細小，在考慮提升為分次數後區域會變得更小。在八個微分數的情形下，我們的區域跟Type-I環形壓實弦論的值zeta(3)誤差約1.5%，zeta(5)誤差約0.2%。這使我們做出推論，我們可以透過單調關係以及EFThedron直接得到四點的開弦散射震幅。第二部分我們考慮弱重力猜想給予有效場論的限制。我們和先回顧愛因斯坦-麥克士威爾以及愛因斯坦-麥克士威爾-脹子理論中帶電的黑洞。我們將給出Reissner-Nordström和GHS黑洞的第一階微擾解，然後討論微擾矩陣的一些性質。帶電黑洞的極值條件會隨著高階微分項的威爾斯係數而改變，我們將會在兩個不同的能量尺度：極紅外區、閥值區，討論威爾斯係數的主要貢獻部分。在極紅外區，我們計算最小耦合，非最小耦合，超重力理論的一圈圖結果。當中我們給出兩個看似會違反若重力猜想的結果。在後續的章節中我們討論閥值區，在此區的威爾森係數主要貢獻是來自於帶有質量的態，我們發現該區域給出的結過皆符合若重力猜想。因此定論最後的結果並沒有違反若重力猜想。" | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-24T03:18:45Z (GMT). No. of bitstreams: 1 U0001-2909202115483500.pdf: 4208222 bytes, checksum: 995a5c50cdc5a11719623fb9621fb599 (MD5) Previous issue date: 2021 | en |
| dc.description.tableofcontents | Acknowledgments iii 中文摘要 v Abstract vii Introduction 1 I String 17 1 Review of String theory 19 1.1 Vertexoperator ............................... 19 1.2 Openstringamplitude............................ 25 1.2.1 Monodromyrelation ........................ 26 1.2.2 Virasoroblock ........................... 26 2 World-sheet positivity 31 2.1 Consistent factorization and the emergence of Virasoro symmetry . . . . 31 2.1.1 Globalblocksfromexchangesymmetry . . . . . . . . . . . . . . 35 2.1.2 Non-negativityandtheVirasoroblock . . . . . . . . . . . . . . . 37 2.2 Themonodromyplane ........................... 42 3 Review of the EFThedron 47 4 Monodromy relation 51 4.1 Intersection of monodromy plane and the EFThedron . . . . . . . . . . . 51 4.2 Theabsenceofisolatedmasslesspoles................... 51 4.3 Combinedconstraints............................ 52 4.4 ClosedstringEFTfromKLT........................ 61 5 Conclusion of Part I 63 II Weak Gravity Conjecture 65 6 Perturbed Black hole 67 6.1 Reissner–Nordstro ̈mblackhole....................... 67 6.2 Dilatonblackhole.............................. 71 6.3 Extremalityandtheaction ......................... 75 7 Weak Gravity Conjecture 79 7.1 Betafunctionsandbubblecuts ....................... 79 7.1.1 Runninginsupergravity ...................... 81 7.1.2 Negative running from nonminimal couplings in non-SUSY theories 83 7.1.3 Causality .............................. 85 7.1.4 UVcompletionandtuning..................... 86 7.2 Actionsandperfectsquares......................... 88 7.2.1 Scalarexamples .......................... 89 7.2.2 Spectralrepresentation....................... 91 7.2.3 Generalizedunitarity........................ 92 7.3 Extremalityandtheaction ......................... 94 8 Outlook 97 A Virasoro block expansion 99 A.1 Virasoroblockcoefficient.......................... 99 A.2 Globalblockdecomposition ........................100 B Ansatz solve Virasoro block coefficients 101 C Bicolor ordered amplitudes 103 C.1 BCJandmonodromyplane.........................103 C.2 Combined constraints for bicolor ordered amplitude . . . . . . . . . 105 C.3 Checkingacorollaryofthemainconjecture . . . . . . . . . . . . . . . . 105 D Supersymmetric spinning polynomial 109 D.1 Reviewofspinningpolynomials ......................111 D.2 N=1Supersymmetry...........................113 D.2.1 TheN=1superpolynomial ...................116 D.3 Extendedsupersymmetry..........................118 D.3.1 ReviewofN=2superspace ...................118 D.3.2 TheN=2superpolynomial ...................120 D.4 ThesupersymmetricEFThedron ......................122 D.4.1 Expansion..............................124 D.5 Conventions.................................125 E The correction of Lagrangian ∆L 127 E.1 Higherorderoperators ...........................127 E.2 ExtremalityandEMAction.........................128 F Unitary Cuts 131 G Positivity and Convexity 133 G.1 DerivationofEq.(7.2.21) .........................133 G.2 Convexityof∆L ..............................134 H Vacuum Polarization 137 I Super-amplitudes in N = 2 141 I.1 Three-pointamplitudes...........................141 I.2 Four-pointamplitudes............................142 Bibliography 143 | |
| dc.language.iso | en | |
| dc.subject | 弱重力猜想 | zh_TW |
| dc.subject | 弦論 | zh_TW |
| dc.subject | 黑洞 | zh_TW |
| dc.subject | 有效場論 | zh_TW |
| dc.subject | 么正性 | zh_TW |
| dc.subject | Effective field theory | en |
| dc.subject | Black Hole | en |
| dc.subject | Weak Gravity Conjecture | en |
| dc.subject | Unitarity | en |
| dc.subject | String theory | en |
| dc.title | 量子重力的規範 | zh_TW |
| dc.title | Constraints from Quantum Gravity | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 博士 | |
| dc.contributor.oralexamcommittee | 賀培銘(Hsin-Tsai Liu),林豐利(Chih-Yang Tseng),陳江梅,溫文鈺 | |
| dc.subject.keyword | 弦論,有效場論,么正性,弱重力猜想,黑洞, | zh_TW |
| dc.subject.keyword | String theory,Effective field theory,Unitarity,Weak Gravity Conjecture,Black Hole, | en |
| dc.relation.page | 149 | |
| dc.identifier.doi | 10.6342/NTU202103458 | |
| dc.rights.note | 同意授權(限校園內公開) | |
| dc.date.accepted | 2021-10-04 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理學研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| U0001-2909202115483500.pdf 授權僅限NTU校內IP使用（校園外請利用VPN校外連線服務） | 4.11 MB | Adobe PDF |
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