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One-loop maximally supersymmetric Yang-Mills scattering amplitudes to all orders in the spacetime dimension
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Schabinger, Robert Morton. One-loop maximally supersymmetric Yang-Mills scattering amplitudes to all orders in the spacetime dimension. Retrieved from https://doi.org/doi:10.7282/T3RN37K4

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TitleOne-loop maximally supersymmetric Yang-Mills scattering amplitudes to all orders in the spacetime dimension
NameSchabinger, Robert Morton (author); Strassler, Matthew J (chair); Mekjian, Aram (internal member); Thomas, Scott (internal member); Lath, Amit (internal member); Carbone, Lisa (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2010
Other Date2010-10 (degree)
SubjectPhysics and Astronomy, Yang-Mills theory, Scattering (Physics), Supersymmetry
Extentvii, 168 p.
DescriptionIn this thesis we discuss in detail computational methods and new results for one-loop virtual corrections to N = 4 super Yang-Mills scattering amplitudes calculated to all orders in [epsilon], the dimensional regularization parameter. It is often the case that one-loop gauge theory computations are carried out to O[epsilon]⁰, since higher order in [epsilon] contributions vanish in the [epsilon right arrow] 0 limit. We will show, however, that the higher order contributions are actually quite useful. In the context of maximally supersymmetric Yang-Mills, we consider two examples in detail to illustrate our point. First we will concentrate on computations with gluonic external states and argue that N = 4 supersymmetry implies a simple relation between all-orders-in-[epsilon] one-loop N = 4 super Yang-Mills amplitudes and the first and second stringy corrections to analogous tree-level N = 4 amplitudes. For our second example we will derive a new result for the all-orders-in-[epsilon] one-loop superamplitude for planar six-particle NMHV scattering, an object which allows one to easily obtain six-point NMHV amplitudes with arbitrary external states. To make the presentation as self-contained as possible, we extensively review the prerequisites necessary to understand the main results of this thesis.
NotePh.D.
NoteIncludes bibliographical references
NoteIncludes vita
Noteby Robert Morton Schabinger
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3RN37K4
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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