Gauge and gravity scattering amplitudes from chy formalism

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Title Gauge and gravity scattering amplitudes from chy formalism
Publication Type dissertation
School or College College of Science
Department Physics & Astronomy
Author Teng, Fei
Date 2017
Description In this dissertation, we first review some recent progress on exploring the nature of scattering amplitudes. Then we present our recent work on direct evaluation of tree level maximally helicity violating (MHV) amplitudes by Cachazo-He-Yuan (CHY) formula, which naturally reproduce the Parke-Taylor and Hodges formula, respectively, for gauge and gravity. We also verify that they are supported only by one single solution to the scattering equation. In addition, we derive a new compact formula for tree level single trace MHV amplitudes for Einstein-Yang-Mills theory, which is equivalent to, but much simpler than the known Selivanov-Bern-De Freitas-Wong (SBDW) formula. It can be shown that other solutions do not contribute to the MHV amplitudes of Yang-Mills, gravity and Einstein-Yang-Mills theory. We further propose a method to characterize the solutions to the scattering equations using the rank of two discriminant matrices. In four dimensions, such a characterization can be used to understand the correspondence between the helicity configurations of external scattering particles and the solutions to the scattering equation.
Type Text
Publisher University of Utah
Subject CHY formalism; scattering amplitudes
Dissertation Name Doctor of Philosophy
Language eng
Rights Management ©Fei Teng
Format application/pdf
Format Medium application/pdf
ARK ark:/87278/s6s226pj
Setname ir_etd
ID 1345129
Reference URL https://collections.lib.utah.edu/ark:/87278/s6s226pj
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