Noether's Theorem for a Fixed Region
Mathematical Physics
2011-12-15 v8 High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.0911.0169,
title = {Noether's Theorem for a Fixed Region},
author = {Klaus Bering},
journal= {arXiv preprint arXiv:0911.0169},
year = {2011}
}
Comments
22 pages, LaTeX. v2,v3: Minor corrections. v4,v5,v6: Added references. v7: Added one more example and Appendix B about gauging a global quasi-symmetry. v8: Added references. To appear in the proceedings of the 31th Srni winter school "Geometry and Physics", published in the journal Archivum Mathematicum (Brno), see http://emis.muni.cz/journals/AM/