The Non-Relativistic String Limit and Galilean electrodynamics.

Keuning, Jetze J. (2021) The Non-Relativistic String Limit and Galilean electrodynamics. Bachelor's Thesis, Physics.

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Abstract

Non-Relativistic (NR) theories of electrodynamics can be obtained in several ways. In this research we obtain the NR electric and magnetic limit of the Maxwell Equations and show that the resulting equations are invariant under the Galilean transformations. Furthermore, we reproduce Galilean Electrodynamics (GED) by applying the particle limit, in which spacetime is decomposed into space and time, to a Maxwell Lagrangian with a scalar field. This Lagrangian is obtained by dimensionally reducing a five-dimensional Maxwell Lagrangian in a spatial direction. GED can be used to obtain the equations of motion that are also obtained in the electric limit. Furthermore, GED possesses two emergent scale symmetries. Alternatively, GED is reproduced by performing a dimensional reduction in a lightlike direction, called a null reduction, on the five-dimensional Maxwell Lagrangian. Subsequently, we set out to reproduce the same theory with a new procedure, called the string limit. In this limit space is decomposed into a two-dimensional subspace, the longitudinal space, with Minkowskian signature metric and its complement, the transverse space, whose metric has Euclidean signature. This limit is applied to a five-dimensional Maxwell Lagrangian, after which we reduce in a spatial direction. The result is Galilean Electrodynamics.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Bergshoeff, E.A. and Roest, D.
Degree programme:	Physics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	07 Jul 2021 10:21
Last Modified:	07 Jul 2021 10:22
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/25039

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