Noether's Theorem for a Fixed Region

Physics – Mathematical Physics

Scientific paper

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22 pages, LaTeX. v2,v3: Minor corrections. v4,v5,v6: Added references. v7: Added one more example and Appendix B about gauging

Scientific paper

We give an elementary proof of Noether's first Theorem while stressing the
magical fact that the global quasi-symmetry only needs to hold for one fixed
integration region. We provide sufficient conditions for gauging a global
quasi-symmetry.

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