RT Journal Article T1 Hamiltonian dynamics of the parametrized electromagnetic field A1 Barbero G., J. Fernando A1 Margalef Bentabol, Juan A1 Sánchez Villaseñor, Eduardo Jesús AB We study the Hamiltonian formulation for a parametrized electromagnetic field with the purpose of clarifying the interplay between parametrization and gauge symmetries. We use a geometric approach which is tailor-made for theories where embeddings are part of the dynamical variables. Our point of view is global and coordinate free. The most important result of the paper is the identification of sectors in the primary constraint submanifold in the phase space of the model where the number of independent components of the Hamiltonian vector fields that define the dynamics changes. This explains the non-trivial behavior of the system and some of its pathologies. PB IOP Publishing SN 0264-9381 YR 2016 FD 2016-05-24 LK https://hdl.handle.net/10016/24580 UL https://hdl.handle.net/10016/24580 LA eng NO This work has been supported by the Spanish MINECO research grants FIS2012-34379, FIS2014-57387-C3-3-P and the Consolider-Ingenio 2010 Program CPAN (CSD 2007-00042). Juan Margalef-Bentabol is supported by a ‘la Caixa’ fellowship. DS e-Archivo RD 3 may. 2024