- #1
facenian
- 436
- 25
I've been looking at the original work of Noether and I'm confused about this point. The transformation of fields and coordinates are supossed to form a group, then how the inverse of
$$B^{\mu}=B^{\mu}(A^{\mu},\partial A^{\mu}/\partial x^{\nu},x^{\mu},\epsilon) $$
$$y^{\mu}=y^{\mu}(A^{\mu},\partial A^{\mu}/\partial x^{\nu},x^{\mu},\epsilon) $$
is supposed to be obtained?
For the sake of simplicity we suppose that ##\epsilon## is a single parameter and only first derivatives of the field appear.
$$B^{\mu}=B^{\mu}(A^{\mu},\partial A^{\mu}/\partial x^{\nu},x^{\mu},\epsilon) $$
$$y^{\mu}=y^{\mu}(A^{\mu},\partial A^{\mu}/\partial x^{\nu},x^{\mu},\epsilon) $$
is supposed to be obtained?
For the sake of simplicity we suppose that ##\epsilon## is a single parameter and only first derivatives of the field appear.