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-3 votes
1 answer
116 views

Noether's theorem by a taste of logic [closed]

I am a mathematician and I asked this question briefly and my question became closed, may be - I don't know - because physicists don't used to apply the method of "proof by contradiction". ...
moshtaba's user avatar
  • 1,409
1 vote
1 answer
59 views

Designing a thought experiment on Noether's Theorem [closed]

By Noether's theorem, in classical physics, conservation of total momentum of a system is result of invariance of physical evolution by translation. So logic says "if" there exists closed ...
moshtaba's user avatar
  • 1,409
1 vote
0 answers
35 views

Proving conservation of supercurrent

I am trying to prove that the supercurrent $J^\mu = \gamma^{\nu \rho} F^A_{\nu \rho} \gamma^\mu \lambda^A $ is conserved in ${\cal N}=1$ SUSY Yang-Mills theory ( basically trying to reproduce equation ...
baba26's user avatar
  • 513
2 votes
1 answer
48 views

Does Noether's theorem apply to a strict on-shell symmetry of the action that holds on every integration region?

I've worked through different proofs of Noether's theorem and read various posts about it on this site. Some important takeaways, among others from this and this post by Qmechanic were Every off-...
WillHallas's user avatar
1 vote
1 answer
62 views

Symmetry transformation exact meaning

In whatever text/review I happen to come across (like for example From Noether’s Theorem to Bremsstrahlung: A pedagogical introduction to Large gauge transformations and Classical soft theorems, ...
schris38's user avatar
  • 3,992
0 votes
1 answer
49 views

Finding the Noether current

I'm currently reading "QFT for the gifted Amateur by Lancaster and Blundell, and in a lot of the problems I'm a bit unsure of how to do them, an example asked "Consider a system ...
Morty Levinson's user avatar
1 vote
1 answer
96 views

How is Noether’s theorem actually applied?

Noether’s theorem roughly states that the existence of a symmetry group for a given system implies a conservation law for that system. All well and good, except that I’m shaky on exactly how you ...
controlgroup's user avatar
0 votes
0 answers
31 views

Noether's theorem for supersymmetry [duplicate]

I know that Noether's theorem states that all symmetries of the universe correspond to some conservation law. If supersymmetry were true, would there be a new conservation law? In other words, does ...
mathman's user avatar
2 votes
4 answers
150 views

Why exactly does time translation symmetry lead to conservation of energy? [duplicate]

As far as I know (and I don't know much), Noether's theorem claims that time translation invariance of the laws of physics leads to the conservation of energy. The way I understand it is that if we ...
Parzh from Ukraine's user avatar
3 votes
5 answers
938 views

What is the point of knowing symmetries, conservation quantities of a system?

I think this kind of question has been asked, but i couldn’t find it. Well i have already know things like symmetries, conserved quantities and Noether’s theorem, as well as their role in particle ...
Kanokpon Arm's user avatar
0 votes
1 answer
65 views

Discrepance between gauge symmetry and Noether's first theorem

In QFT we're interested in the symmetries of our theory (encoded in the invariance of the Lagrangian under symmetries) because they let us study conserved currents of the theory by Noether's theorem. ...
Tomás's user avatar
  • 309
1 vote
0 answers
33 views

Charge conservation and $U(1)$-invariance [duplicate]

Let’s consider electromagnetic Lagrangian $$\mathcal L=-{1\over 4}F_{\mu\nu}F^{\mu\nu}\tag{1}$$ Is charge conservation derived as a consequence of $U(1)$-invariance of this Lagrangian?
user avatar
0 votes
0 answers
31 views

Deriving conserved currents from variation of action

I am reading An Modern Introduction to Quantum Field Theory by Maggiore. I have difficulty following the calculation of $\delta ( d^4 x)$ and $\delta (\partial_\mu \phi_i)$. Also, wonder whether the ...
user174967's user avatar
1 vote
0 answers
30 views

Poincaré group conservation laws: 10 of 7? [duplicate]

According to the Wikipedia page about the Poincaré group, we get 10 conservation laws using Noethers theorem. 10 generators (in four spacetime dimensions) associated with the Poincaré symmetry, by ...
Riemann's user avatar
  • 1,440
3 votes
2 answers
488 views

Does the divergence theorem imply an underlying symmetry?

The divergence theorem connects the flux (through surface) and divergence (in a volume) for any vector field. This theorem expresses continuity. It isn't clear (to me) whether there is a conserved ...
AppliedAcademic's user avatar

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