RT Journal Article
T1 Gauge reduction in covariant field theory
A1 Castrillón López, Marco
A1 Rodríguez Abella, Álvaro
AB In this work we develop a Lagrangian reduction theory for covariant field theories with local symmetries and, more specifically, with gauge symmetries. We model these symmetries by using a Lie group fiber bundle acting fiberwisely on the corresponding configuration bundle. In order to reduce the variational principle, we utilize generalized principal connections, a type of Ehresmann connections that are equivariant by the fiberwise action. After obtaining the reduced equations, we give the reconstruction condition and we relate the vertical reduced equation with the Noether theorem. Lastly, we illustrate the theory by applying it to several examples, including the classical case (Lagrange-Poincaré reduction) and electromagnetism.
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/71670
UL https://hdl.handle.net/20.500.14352/71670
LA eng
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NO Ministerio de Ciencia e Innovación (MICINN)
NO Junta de Castilla y León
DS Docta Complutense
RD 8 may 2024