Moro, Nicolás (2021) A Geometrical Review of Born-Infeld Theory. Bachelor's Thesis, Mathematics.
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Abstract
The present work aims to provide an overview of the main physical and geometrical properties of the Born-Infeld model. We explore the similarities and differences with Maxwell's electrodynamics and how these influence said properties. We find that Born-Infeld complies with the macroscopic Maxwell equations while solving the problem of infinite self-energies. Duality symmetry, Lorentz and gauge invariance are key properties shared by the two theories. In a more general sense, we see that the laws of electrodynamics can be described as a geometrical consequence of the definitions that are used to describe their framework. While the physical intuition is restricted to four dimensions, it is possible to extend the geometric notions to higher dimensions. Finally, we review some applications of Born-Infeld in theoretical physics.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Roest, D. and Veen, R.I. van der |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 06 Jul 2021 10:30 |
| Last Modified: | 06 Jul 2021 10:30 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/25004 |
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