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arXiv · 1403.5397

Symmetries in Lagrangian Field Theory

Lucía Búa·Ioan Bucataru·Manuel de León·Modesto Salgado·Silvia Vilariño
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Abstract

By generalizing the cosymplectic setting for time-dependent Lagrangian mechanics, we propose a geometric framework for the Lagrangian formulation of classical field theories with a Lagrangian depending on the independent variables. For that purpose we consider the first order jet bundles $J^1\pi$ of a fiber bundle $\pi:E\to {\mathbb R}^k$ where ${\mathbb R}^k$ is the space of independent variables. Generalized symmetries of the Lagrangian are introduced and the corresponding Noether Theorem is proved.

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Lucía Búa, Ioan Bucataru, Manuel de León, Modesto Salgado, Silvia Vilariño. 2014-03-21. Symmetries in Lagrangian Field Theory. https://doi.org/10.1016/s0034-4877(15)30010-0

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