Aspects of Symmetry in Scattering Amplitudes
博士 === 國立臺灣大學 === 物理研究所 === 103 === The development of modern on-shell methods for scattering amplitudes allows us to construct scattering amplitudes without the knowledge of a Lagrangian. In this thesis, various aspects of symmetry in scattering amplitudes are studied in this content. In Part 1, we...
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ndltd-TW-103NTU051980122016-11-19T04:09:44Z http://ndltd.ncl.edu.tw/handle/31122286218922735808 Aspects of Symmetry in Scattering Amplitudes 散射振幅與其對稱性 Wei-Ming Chen 陳韋名 博士 國立臺灣大學 物理研究所 103 The development of modern on-shell methods for scattering amplitudes allows us to construct scattering amplitudes without the knowledge of a Lagrangian. In this thesis, various aspects of symmetry in scattering amplitudes are studied in this content. In Part 1, we review the hidden dual superconformal symmetry in three-dimensional Chern-Simons-matter theory and utilize it to construct the amplitudes up to two-loop. In Part 2, we discuss the rational terms of the parity-odd part of one-loop amplitudes in chiral gauge theories. The presence of rational terms is connected to the requirement of locality. Anomalies are then recast as the result of a inconsistent rational term with both locality and unitarity. Finally, we establish the soft theorems for double-soft-scalar-limit in three- and four-dimensional supergravity theories. Surprisingly, the amplitudes also have a universal pattern under double-soft-fermion-limit, there exists implicitly a new symmetry. As a preliminary application of the soft theorem to three-dimensional maximal supergravity, we rule out the direct dimensional reduction of D^8R^4 out as a valid counter term. Pei-Ming Ho 賀培銘 2015 學位論文 ; thesis 120 zh-TW |
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博士 === 國立臺灣大學 === 物理研究所 === 103 === The development of modern on-shell methods for scattering amplitudes allows us to construct scattering amplitudes without the knowledge of a Lagrangian. In this thesis, various aspects of symmetry in scattering amplitudes are studied in this content. In Part 1, we review the hidden dual superconformal symmetry in three-dimensional Chern-Simons-matter theory and utilize it to construct the amplitudes up to two-loop. In Part 2, we discuss the rational terms of the parity-odd part of one-loop amplitudes in chiral gauge theories. The presence of rational terms is connected to the requirement of locality. Anomalies are then recast as the result of a inconsistent rational term with both locality and unitarity. Finally, we establish the soft theorems for double-soft-scalar-limit in three- and four-dimensional supergravity theories. Surprisingly, the amplitudes also have a universal pattern under double-soft-fermion-limit, there exists implicitly a new symmetry. As a preliminary application of the soft theorem to three-dimensional maximal supergravity, we rule out the direct dimensional reduction of D^8R^4 out as a valid counter term.
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author2 |
Pei-Ming Ho |
author_facet |
Pei-Ming Ho Wei-Ming Chen 陳韋名 |
author |
Wei-Ming Chen 陳韋名 |
spellingShingle |
Wei-Ming Chen 陳韋名 Aspects of Symmetry in Scattering Amplitudes |
author_sort |
Wei-Ming Chen |
title |
Aspects of Symmetry in Scattering Amplitudes |
title_short |
Aspects of Symmetry in Scattering Amplitudes |
title_full |
Aspects of Symmetry in Scattering Amplitudes |
title_fullStr |
Aspects of Symmetry in Scattering Amplitudes |
title_full_unstemmed |
Aspects of Symmetry in Scattering Amplitudes |
title_sort |
aspects of symmetry in scattering amplitudes |
publishDate |
2015 |
url |
http://ndltd.ncl.edu.tw/handle/31122286218922735808 |
work_keys_str_mv |
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1718394181180719104 |