Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian
Sardanashvily, G.
arXiv, 0302012 / Harvested from arXiv
Text on arXiv
As is well known, there are different Lagrangians which lead to the same Euler-Lagrange operator. The gauge invariance of a Lagrangian guarantees that of the corresponding Euler-Lagrange operator, but not vice versa. We show that the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian results in Noether conservation laws.
Publié le : 2003-02-06
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{0302012,
     author = {Sardanashvily, G.},
     title = {Noether conservation laws issue from the gauge invariance of an
  Euler-Lagrange operator, but not a Lagrangian},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0302012}
}

Sardanashvily, G. Noether conservation laws issue from the gauge invariance of an
  Euler-Lagrange operator, but not a Lagrangian. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0302012/