Castrillón López, Marco Rodríguez Abella, Álvaro 2025-09-25T10:36:42Z 2025-09-25T10:36:42Z 2024-07-12 1751-8113 httpss://doi.org/10.1088/1751-8121/ad5bc8 Artículos en revistas . In this work, we develop a Lagrangian reduction theory for covariant field theories with gauge symmetries. These symmetries are modeled by a Lie group fiber bundle acting fiberwisely on a 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 with several examples, including the classical case (Lagrange–Poincaré reduction), Electromagnetism, symmetry-breaking and non-Abelian gauge theories. application/pdf en-GB Creative Commons Reconocimiento-NoComercial-SinObraDerivada España http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Revista: Journal of Physics A: Mathematical and Theoretical, Periodo: 1, Volumen: 57, Número: 30, Página inicial: ., Página final: . Gauge reduction in covariant field theory info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/openAccess . covariant reduction, Euler–Lagrange equations, gauge symmetry, generalized principal bundle, Lagrangian field theory, Noether theorem