2026-06-29T08:11:15Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/716702023-08-27T20:04:46Zcom_20.500.14352_14col_20.500.14352_15

Gauge reduction in covariant field theory Castrillón López, Marco Rodríguez Abella, Álvaro 530.1 Covariant reduction: Euler-Lagrange equations Gauge symmetry Generalized principal bundle Lagrangian field theory Noether theorem Física matemática 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. Ministerio de Ciencia e Innovación (MICINN) Junta de Castilla y León Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas FALSE unpub 2023-06-22T10:47:24Z 2023-06-22T10:47:24Z 2022 journal article https://hdl.handle.net/20.500.14352/71670 XXXX-XXXX eng PGC2018-098321- B-I00 SA090G open access application/pdf