Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.751997
Title: Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories
Author: Bidder, Steven James
Awarding Body: University of Wales, Swansea
Current Institution: Swansea University
Date of Award: 2006
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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 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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.751997  DOI: Not available
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