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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 黃宇廷(Yu-tin Huang) | |
| dc.contributor.author | En Shih | en |
| dc.contributor.author | 石恩 | zh_TW |
| dc.date.accessioned | 2021-05-14T17:43:46Z | - |
| dc.date.available | 2015-08-25 | |
| dc.date.available | 2021-05-14T17:43:46Z | - |
| dc.date.copyright | 2015-08-25 | |
| dc.date.issued | 2015 | |
| dc.date.submitted | 2015-08-05 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/4588 | - |
| dc.description.abstract | 本論文概覽重力理論中計算散射振幅的新發展，並且針對一種新的計算方法做探討。我們首先回顧旋量-螺度理論、在殼超重力以及在殼遞迴式的理論基礎。之後我們重點討論使用BCFW遞迴式對於超重力振幅的計算。特别是我們呈現一種基於N=7超重力中BCFW遞迴式的散射振幅展開式。這個表示式能夠顯現重力振幅在特定高能量極限下優化的表現。這是尋找重力振幅的自然構件所踏出的初步研究，其終極目標是揭露重力的結構，以其建構能顯現其隱藏對稱性的描述。 | zh_TW |
| dc.description.abstract | This thesis reviews some aspects of the modern developments in calculation methods and assesses a new expression for scattering amplitudes in gravity. We first revisit the basics of spinor helicity formalism, on-shell superspace, and on-shell recursion relations. Special focus is then given to calculating supergravity amplitudes using BCFW recursion relations. In particular, we present an expansion in the form of a BCFW representation in N=7 supergravity which can manifest bonus behavior of gravity amplitudes under certain high energy limits. This is a initial step in search of natural building blocks for supergravity amplitudes, taken with the eventual goal of uncovering the structure of gravity and providing a description that can manifest its hidden symmetries. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-14T17:43:46Z (GMT). No. of bitstreams: 1 ntu-104-R01222055-1.pdf: 1008752 bytes, checksum: 07fc0f1fcc4d59037c4b286395f0d6db (MD5) Previous issue date: 2015 | en |
| dc.description.tableofcontents | 1. Introduction 7
2. On-shell amplitude methods 12 2.1. Spacetime symmetry and spinor-helicity . . . . . . . . . . . . . . . . . . 12 2.1.1. The Lorentz and Poincare groups . . . . . . . . . . . . . . . . . . 13 2.1.2. Spinor helicity formalism . . . . . . . . . . . . . . . . . . . . . . . 19 2.2. Supersymmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.2.1. Global supersymmetry . . . . . . . . . . . . . . . . . . . . . . . . 23 2.2.2. On-shell superspace . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.2.3. Supersymmetry Ward identities . . . . . . . . . . . . . . . . . . . 25 2.3. Scattering amplitudes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 2.3.1. The MHV classification . . . . . . . . . . . . . . . . . . . . . . . . 26 2.3.2. 3-point amplitudes . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.4. On-shell recursion relations . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.4.1. On-shell recursion relations: a general formulation . . . . . . . . . 28 2.4.2. BCFW recursion relations . . . . . . . . . . . . . . . . . . . . . . 30 2.4.3. Super-BCFW recursion relations . . . . . . . . . . . . . . . . . . 31 2.4.4. Large z behavior under BCFW shifts . . . . . . . . . . . . . . . . 32 3. Supergravity amplitudes 34 3.1. Perturbative gravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.2. Supergravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 3.3. N = 8 supergravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.3.1. N = 7 formalism of N = 8 supergravity . . . . . . . . . . . . . . 39 3.3.2. N = 7 BCFW recursion . . . . . . . . . . . . . . . . . . . . . . . 41 3.4. N = 7 “bad shift” BCFW representation . . . . . . . . . . . . . . . . . . 42 3.4.1. A particular [−, +⟩ test shift: NkMHV amplitudes . . . . . . . . . 42 3.4.2. Large z behavior under general test shifts . . . . . . . . . . . . . 46 3.4.3. Comparison to other formulas for supergravity amplitudes . . . . 48 3.4.4. N = 8 bonus relations and N = 7 bonus scaling: the MHV case . 49 3.5. Bonus scaling of “bad shift” BCFW for string amplitudes . . . . . . . . . 50 4. Conclusion and Future directions 54 A. Amplitudes of Yang-Mills 56 A.1. Yang-Mills and super-Yang-Mills . . . . . . . . . . . . . . . . . . . . . . 56 A.2. Color structure of Yang-Mills amplitudes . . . . . . . . . . . . . . . . . . 58 A.3. N = 4 super-Yang-Mills . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 | |
| dc.language.iso | en | |
| dc.subject | 超重力 | zh_TW |
| dc.subject | 壞位移 | zh_TW |
| dc.subject | 大z | zh_TW |
| dc.subject | 散射振幅 | zh_TW |
| dc.subject | BCFW遞 | zh_TW |
| dc.subject | N=7 | zh_TW |
| dc.subject | N=8 | zh_TW |
| dc.subject | scattering amplitudes | en |
| dc.subject | N=7 | en |
| dc.subject | N=8 | en |
| dc.subject | supergravity | en |
| dc.subject | bad shift | en |
| dc.subject | large-z | en |
| dc.subject | BCFW recursion | en |
| dc.title | N=7超重力中之優化漸進表現以及BCFW | zh_TW |
| dc.title | Bonus Scaling and BCFW in N=7 Supergravity | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 103-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳恆榆(Heng-Yu Chen),陳俊瑋(Jiuun-Wei Chen) | |
| dc.subject.keyword | 散射振幅,超重力,N=8,N=7,BCFW遞,大z,壞位移, | zh_TW |
| dc.subject.keyword | scattering amplitudes,supergravity,N=8,N=7,BCFW recursion,large-z,bad shift, | en |
| dc.relation.page | 63 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2015-08-05 | |
| 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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