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Recursive Relations Of Scattering Amplitudes In Gauge And Gravity Theories

Author
Zhang, Yang
Abstract
In this dissertation, we discussed the new development of scattering amplitudes in gauge and gravities theories. The LHC era requires the new development of scattering amplitude beyond the traditional Feynman diagram approach. We reviewed the new scattering amplitude methods, inspired by string theory, analyticity and supersymmetry. With these new methods, we [37][54] proved (1) the color/kinematics equivalence in Bern-Carrasco-Johansson (BCJ) recursive identity from the viewpoint of heterotic string theory and (2) the quadratic identities for Yang-Mills theory via the Kawai-Lewellen-Tye (KLT) relation. Both identities simplify the Yang-Mills amplitude calculation and illustrate deep structures in gauge and gravity theories.
Date Issued
2011-08-31Subject
amplitudes; gauge; gravity
Committee Chair
Tye, Sze-Hoi Henry
Committee Member
Alexander, James Paul; McAllister, Liam
Degree Discipline
Physics
Degree Name
Ph. D., Physics
Degree Level
Doctor of Philosophy
Type
dissertation or thesis