Conservation laws for non global Lagrangians

Abstract

In the Lagrangian framework for symmetries and conservation laws of field theories, we investigate globality properties of conserved currents associated with non-global Lagrangians admitting global Euler--Lagrange morphisms. Our approach is based on the recent geometric formulation of the calculus of variations on finite order jets of fibered manifolds in terms of variational sequences.

12 pages, presented in occasion of the XXI Winter School "Geometry and Physics" (Srni, January 13-20 2001), appeared in Quaderni Dip. Mat., Univ. Torino No. 7, Turin, February 2001; this is the last published version

References in corpus (3)

• A covariant formalism for Chern-Simons gravity
• Lagrangian Symmetries of Chern-Simons Theories
• Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian

Cited by in corpus (6)

• Topological obstructions in Lagrangian field theories, with an application to 3D Chern-Simons gauge theory
• Variational Sequences, Representation Sequences and Applications in Physics
• Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. II. Manifestly Generally Covariant Theories
• Cohomological obstructions in locally variational field theories
• Symmetries of Helmholtz forms and globally variational dynamical forms
• Variational Lie derivative and cohomology classes