Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian

Details Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian Noether conservation laws issue from the gauge invariance of an Euler-Lagrange operator, but not a Lagrangian

2003-02-06

arxiv.org/abs/math-ph/0302012v1

Physics

Mathematical Physics

3 pages

Scientific paper

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.

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