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In [[quantum field theory]], the analog to Noether's theorem, the [[Ward–Takahashi identity]], yields further conservation laws, such as the conservation of [[electric charge]] from the invariance with respect to a change in the [[phase factor]] of the [[Complex number|complex]] field of the charged particle and the associated [[gauge invariance|gauge]] of the [[electric potential]] and [[vector potential]].
The Noether charge is also used in calculating the [[entropy]] of [[stationary black hole]]s.<ref>{{cite journal |last1=Iyer |first1=Vivek |last2=Wald |first2=Robert M. |author-link2=Robert Wald |date=15 October
==See also==
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