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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 黃宇廷 | zh_TW |
| dc.contributor.advisor | Yu-tin Huang | en |
| dc.contributor.author | 陳昱睿 | zh_TW |
| dc.contributor.author | Yu-Jui Chen | en |
| dc.date.accessioned | 2024-07-10T16:07:46Z | - |
| dc.date.available | 2024-07-11 | - |
| dc.date.copyright | 2024-07-10 | - |
| dc.date.issued | 2024 | - |
| dc.date.submitted | 2024-07-03 | - |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/92975 | - |
| dc.description.abstract | 本文使用不同質量的(自旋)粒子，建構出三點散射震幅，並用來描述黑洞吸收 過程的動力學。我們發現這樣的三點散射震幅，可以重現在圖科斯基方程裡出現 的特殊函數：自旋加權橢球諧函數。在這個等效的描述中，原本未知的「威爾森係數」的絕對值平方，可以透過和已知的吸收過程截面比對而得到。我們接著將 他應用於計算重力康普頓散射震幅中，源自於吸收過程的修正，並且在超極限的條件下，此修正量產生了參考資料[1]中，相依於非解析|a|的貢獻。 | zh_TW |
| dc.description.abstract | We utilize three point amplitudes with (spinning) particles of unequal mass and a graviton to capture the dynamics of black hole absorption processes. We demonstrate that the construction can represent the spheroidal harmonics appearing in the Teukolsky equations. The absolute square of the “Wilson coefficients” in this effective description can be fixed by matching to the known absorptive cross-sections. As an application, we compute corrections to the gravitational Compton amplitude from the exchange of states corresponding to such absorption effects. In the super- extremal limit, the corrections generate the non-analytic |a|-dependent contribution of the Compton amplitude found in ref. [1]. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2024-07-10T16:07:46Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2024-07-10T16:07:46Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | 口試委員會審定書 i
謝辭 ii Acknowledgement iii 摘要 iv Abstract v List of figures viii 1 Introduction 1 2 Gravitational partial wave as an on-shell tensor 8 2.1 SphericaltensorsforSchwarzschildblackholes 10 2.2 Reviewofthecoherentspinformalism 11 2.3 SpheroidaltensorsforKerrblackholes 14 3 Matching to absorption cross section of spinning black hole 21 3.1 Calculationfromon-shellspheroidaltensor 22 3.2 Matchingtoclassicalabsorptioncrosssection 28 4 Compton amplitude of spinning black hole 33 4.1 Kinematicsetup 36 4.2 Compton amplitude from on-shell spheroidal tensor 38 5 Conclusion and outlook 44 A State sum for coherent spin states 47 B Equal-mass Compton amplitude from BCFW 52 C Unitarity and optical Theorem 56 C.1 UnitarityofSmatrix 56 C.2 Crosssectionandopticaltheorem 57 Bibliography 60 | - |
| dc.language.iso | en | - |
| dc.subject | 散射振幅 | zh_TW |
| dc.subject | 自旋加權橢球諧函數 | zh_TW |
| dc.subject | 自旋螺旋形式 | zh_TW |
| dc.subject | 在殼方法 | zh_TW |
| dc.subject | 圖科斯基方程 | zh_TW |
| dc.subject | 史瓦西黑洞 | zh_TW |
| dc.subject | 克爾黑洞 | zh_TW |
| dc.subject | Spin-weighted spheroidal harmonics | en |
| dc.subject | Kerr black holes | en |
| dc.subject | Schwarzschild black holes | en |
| dc.subject | Teukolsky equation | en |
| dc.subject | On-shell methods | en |
| dc.subject | Spinor-helicity formalism | en |
| dc.subject | Scattering amplitude | en |
| dc.title | 在殼觀點下的（旋轉）重力吸收過程 | zh_TW |
| dc.title | On-shell approach to (spinning) gravitational absorption processes | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 112-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 賀培銘;陳江梅 | zh_TW |
| dc.contributor.oralexamcommittee | Pei-Ming Ho;Chiang-Mei Chen | en |
| dc.subject.keyword | 散射振幅,自旋加權橢球諧函數,自旋螺旋形式,在殼方法,圖科斯基方程,史瓦西黑洞,克爾黑洞, | zh_TW |
| dc.subject.keyword | Scattering amplitude,Spin-weighted spheroidal harmonics,Spinor-helicity formalism,On-shell methods,Teukolsky equation,Schwarzschild black holes,Kerr black holes, | en |
| dc.relation.page | 69 | - |
| dc.identifier.doi | 10.6342/NTU202401489 | - |
| dc.rights.note | 同意授權(限校園內公開) | - |
| dc.date.accepted | 2024-07-03 | - |
| dc.contributor.author-college | 理學院 | - |
| dc.contributor.author-dept | 物理學系 | - |
| 顯示於系所單位： | 物理學系 | |
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