Symmetries global, local and asymptotic, applications of noether and covariant phase space methods

Abstract

Primarily, global, local and asymptotic symmetries will be described and their correspondence in the conservation laws will be shown in this thesis. The latter will be managed by Noether’ s theorems and Covariant Phase Space formalism. Conservation laws related to local gauge transformations will be focused in electrodynamics. A couple of approaches that have already been performed will be examined in detail and charge definitions on different 3D hypersurfaces will be compared.