Tagged Questions

A theorem that relates continuous symmetries (continuous transformations that don't affect the value of the lagrangian) to quantities conserved in time.

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Problems with the strong interaction and the rest of the standard model [duplicate]

This question has been heavily revised from what I asked earlier: Michio Kaku, in his QFT a Modern Introduction says (in paraphrase) that the $SU(3)$ gauge symmetry of the strong interaction must be "...
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What does Michio Kaku mean when he says that the Strong Interaction must be “penciled in” to the Standard Model [on hold]

This is a very heavily revised question asked earlier: Michio Kaku, in his QFT a Modern Introduction says (in paraphrase) that the $SU(3)$ gauge symmetry of the strong interaction must be "penciled ...
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To find the conserved quantities in a lagrangian?

Lagrangian of a particle of mass $m$ is given by $$L= \frac{m}{2}[(\frac{dx}{dt})^2 + (\frac{dy}{dt})^2 + (\frac{dz}{dt})^2]-\frac{V}{2}(x^2+y^2)+ W\sin(\omega t)$$ Is energy conserved here since ...
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Noether's theorem in classical field theory (proof)

Noether's theorem for classical field theory state that if for each closed region $\Omega \in \mathbb{R}^4$ the action $I_{\Omega}$[$\phi$] is invariant under a differentiable transformation of one ...
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A brief idea about Noether's Theorem? [closed]

I've recently been lead to believe that a certain "Noether's Theorem" could prove to be a very helpful tool in physics. I've only just started reading up on Lagrangian mechanics, but I'd like to get ...
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Learning about 4 topics in physics [closed]

This isn't really a question on any of those numerous underlying concepts behind the various sub-disciplines of physics, but hear me out: I'm still in Higher Secondary, but I'd really love to know ...
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Generalise Noether's theorem [closed]

I'm not sure how to generalise Noether's theorem. For this L, I think $B\cdot\dot{x}$ is conserved so I tried to relate F and K to this and try to show that that was conserved but got no where. any ...
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Recovering a symmetry transformation from a conserved charge

I'm going through some notes on how to apply the Hamiltonian formalism to systems with gauge invariance and I found a derivation of Noether's theorem I had never seen before. The idea is roughly that ...
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Free Complex scalar field and conservation principle

In a free complex scalar field, the difference between the number of Particles and antiparticles is conserved. This constarint can be satisfied with a simultaneous creation of equal number of ...
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What kind of conservation law is energy conservation in thermodynamics?

As I understand it, Noether's theorem is an important result that allows us to show when certain kinds of conservations arise. Is energy conservation in thermodynamics a result of Noether's theorem? ...
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Are there conserved quantities in field theory which don't arise from Noether's Theorem?

In some QFT texts one writes down the number operator $N$ for free theories, such that when acting on an $n$-particle state $|n\rangle$ we have $$N|n\rangle=n|n\rangle$$ In free theories this is a ...
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Is spin angular momentum conserved?

According to the Noether theorem, we only have the conserved quantity $$J+S,$$ where $J$ is the orbital angular momentum and $S$ is the spin angular momentum. But I am always impressed that the spin ...
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Einstein tensor as a conserved current?

As is well-known, the traditional" conserved quantities (energy, momentum...) are Noether currents whose conservation depends on the existence of various Killing fields in Minkowski space. In ...
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How to describe time-shifts in Noether's theorem in Hamiltonian formalism

As was described in, for example, this post, one can formulate Noether's Theorem also in Hamiltonian Mechanics. Symmetries are then represented by vector fields generated by observables whose Poisson ...