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Post Closed as "Opinion-based" by hft, Miyase, Matt Hanson
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What is the intuition behind Noether current $$J^{\mu}_N={\Pi}^{\mu}D{\phi}-W^{\mu}$$ where ${\Pi}^{\mu}$ is the generalized conjugate momentum and $W^{\mu}$ is just some arbitrary function of spacetime.

  • $J^{\mu}_N$ is the Noether current.
  • $D\phi$ is the change of the field $\phi$ with respect to some parameter $\lambda$.
  • ${\Pi}^{\mu}$ is the generalized conjugate momentum.
  • $W^{\mu}$ is some arbitrary funtion of spacetime.

What is the intuition behind Noether current $$J^{\mu}_N={\Pi}^{\mu}D{\phi}-W^{\mu}$$ where ${\Pi}^{\mu}$ is the generalized conjugate momentum and $W^{\mu}$ is just some arbitrary function of spacetime.

What is the intuition behind Noether current $$J^{\mu}_N={\Pi}^{\mu}D{\phi}-W^{\mu}$$ where

  • $J^{\mu}_N$ is the Noether current.
  • $D\phi$ is the change of the field $\phi$ with respect to some parameter $\lambda$.
  • ${\Pi}^{\mu}$ is the generalized conjugate momentum.
  • $W^{\mu}$ is some arbitrary funtion of spacetime.
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What is the physical intuition of Noether current?

What is the intuition behind Noether current $$J^{\mu}_N={\Pi}^{\mu}D{\phi}-W^{\mu}$$ where ${\Pi}^{\mu}$ is the generalized conjugate momentum and $W^{\mu}$ is just some arbitrary function of spacetime.