Noether's second theorem The second theorem is about the implications of local symmetry. The changes that generate the symmetry will be assumed to depend linearly on a field $\theta (x^\mu)$ …

Noether's Theorem is used to relate the invariance of the action under certain continuous transformations to conserved currents. A common example is that translations in spacetime …

Mar 9, 2017 · Noether's Theorem relates continuous symmetries (continuous transformations that keep the theory's action invariant) to conservation laws. It finds many applications in modern Physics and …

Noether's theorem is one of those surprisingly clear results of mathematical calculations, for which I am inclined to think that some kind of intuitive understanding should or must be possible. How...

Apr 6, 2012 · The correct pronunciation of the German words "Noether," "Erlangen," and "Göttingen" is essential for presentations, particularly when discussing figures like Emmy Noether. "Noether" is …

Indeed, related, but not entirely satisfactory for me :-). Why is it widely said that the global gauge symmetry is the one responsible for charge conservation ? What about the local one ? What about …

Feb 15, 2021 · According to Noether's Theorem, every physical symmetry leads to a conservation law. For example, time-translation symmetry (the laws of physics don't change over time) implies …

Aug 1, 2023 · Noether's second theorem is supposed to show that the invariance of the Lagrangian by the Lie group (infinite in dimension) of certain theories necessarily implies that the field equations …

Feb 10, 2015 · I am trying to organize my knowledge of Noether's theorem in QFT. There are several questions I would like to have an answer to. In classical field theory, Noether's theorem states that …

For continuous global symmetries, Noether theorem gives you a locally conserved charge density (and an associated current), whose integral over all of space is conserved (i.e. time independent). For …