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Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories. / Steven James Bidder

Swansea University Author: Steven James Bidder

Abstract

Recently, a duality between = 4 Super Yang-Mills Theory and Twistor String Theory has been proposed by Witten [1]. This has led to the development of a number of new techniques for calculating Tree and Loop scattering amplitudes in theories with N = A Supersymmetries. In this thesis we examine how t...

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Published: 2006
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42501
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last_indexed 2018-08-03T10:10:19Z
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spelling 2018-08-02T16:24:29.4781967 v2 42501 2018-08-02 Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories. c268ef886ae6df5dd01dbace5e7e9370 NULL Steven James Bidder Steven James Bidder true true 2018-08-02 Recently, a duality between = 4 Super Yang-Mills Theory and Twistor String Theory has been proposed by Witten [1]. This has led to the development of a number of new techniques for calculating Tree and Loop scattering amplitudes in theories with N = A Supersymmetries. In this thesis we examine how these techniques can be extended to calculate purely gluonic one-loop scattering amplitudes in theories with & 4 Supersymmetries. We explicitly calculate six-point N = 1 next to MHV (NHMV) one-loop amplitudes, and certain n-point NMHV examples, and investigate their twistor structure. We find that the box coefficients of all Supersymmetric amplitudes inherit the same Twistor Space properties, but that the Twistor description does not extend to the coefficients of the Triangle and Bubble functions that also appear in amplitudes in theories with N & 4 Supersymmetries. We also show how to use Supersymmetric Ward Identities to calculate amplitudes involving external fermions and scalars from the known purely gluonic amplitudes with the same helicity structure. We present explicit results for six-point N = 4 NMHV one-loop amplitudes and generalise these results to n-point amplitudes, presenting the full generalisation as a series of conversion factors that take amplitudes from the purely gluonic form to the case where there are two external fermions. Finally we discuss how these factors can then be compounded to give amplitudes with more external fermions and scalars. E-Thesis Theoretical physics. 31 12 2006 2006-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.4781967 2018-08-02T16:24:29.4781967 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Steven James Bidder NULL 1 0042501-02082018162459.pdf 10801731.pdf 2018-08-02T16:24:59.4770000 Output 5828316 application/pdf E-Thesis true 2018-08-02T16:24:59.4770000 false
title Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories.
spellingShingle Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories.
Steven James Bidder
title_short Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories.
title_full Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories.
title_fullStr Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories.
title_full_unstemmed Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories.
title_sort Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories.
author_id_str_mv c268ef886ae6df5dd01dbace5e7e9370
author_id_fullname_str_mv c268ef886ae6df5dd01dbace5e7e9370_***_Steven James Bidder
author Steven James Bidder
author2 Steven James Bidder
format E-Thesis
publishDate 2006
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description Recently, a duality between = 4 Super Yang-Mills Theory and Twistor String Theory has been proposed by Witten [1]. This has led to the development of a number of new techniques for calculating Tree and Loop scattering amplitudes in theories with N = A Supersymmetries. In this thesis we examine how these techniques can be extended to calculate purely gluonic one-loop scattering amplitudes in theories with & 4 Supersymmetries. We explicitly calculate six-point N = 1 next to MHV (NHMV) one-loop amplitudes, and certain n-point NMHV examples, and investigate their twistor structure. We find that the box coefficients of all Supersymmetric amplitudes inherit the same Twistor Space properties, but that the Twistor description does not extend to the coefficients of the Triangle and Bubble functions that also appear in amplitudes in theories with N & 4 Supersymmetries. We also show how to use Supersymmetric Ward Identities to calculate amplitudes involving external fermions and scalars from the known purely gluonic amplitudes with the same helicity structure. We present explicit results for six-point N = 4 NMHV one-loop amplitudes and generalise these results to n-point amplitudes, presenting the full generalisation as a series of conversion factors that take amplitudes from the purely gluonic form to the case where there are two external fermions. Finally we discuss how these factors can then be compounded to give amplitudes with more external fermions and scalars.
published_date 2006-12-31T03:53:05Z
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score 11.013686

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