The geometric interpretation of field theories and classical double copy

Sia, Bik Soon (2020) The geometric interpretation of field theories and classical double copy. Bachelor's Thesis, Physics.

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Abstract

General relativity is a non-linear field theory of gravity which implies graviton-graviton interac- tions. Born-Infeld theory(BI) is a modified non-linear electromagnetic field theory with very specific self-interactions as well. For some field theories with similar features including scalar theories with self interactions, there is a geometric understanding. In this thesis, the foundation of Born-Infeld theory and general relativity is studied. The physics of branes are studied together with the scalar field theories such as Dirac-Born-Infeld theory (DBI) and Speical Galileon theory (SG) in order to understand their geometric interpretation. Since the electromagnetic field Aμ in Born-Infeld theory only contributes to the antisymmetrical part Fμν of the induced metric, it is found out that there is no nonlinearly realised symmetry and Aμ transforms as a vector field under linearly realised Poincar ́e symmetry to leave Fμν antisymmetric. So, the geometric interpretation as a brane fluctuating in the transverse direction as in DBI theory and SG theory cannot be applied to Born-Infeld theory. In the study of classical double copy motivated by the color-kinematics duality in scattering amplitude, Kerr-Schild ansatz is used to construct the interconnection bewteen the classical solution of Abelian Maxwell theory and general relativity. Inspired by Kerr-Schild clas- sical double copy, the duality of the classical solution of SG, BI and GR is investigated.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Roest, D. and Bergshoeff, E.A.
Degree programme:	Physics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	02 Jul 2020 14:39
Last Modified:	02 Jul 2020 14:39
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/22381

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