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I created a new entry scalar field on the notion of physical field with a brief bit of text.
I removed the redirect of that to ground ring. It seems to me one says maybe “field of scalars” for “ground ring”, but not “scalar field”. (Wikipedia agrees with me, for what it’s worth.) But I left disambiguations, so no harm is done either way.
I seem to have written ‘scalar field’ there, but I agree that this is wrong. I don't think that any redirect is necessary, although I managed to get the first paragraph of scalar field to link to field of scalars.
I have started adding some genuine content to scalar field theory. Didn’t get far, though, because I ended up collecting references in various related entries, such as free field, wave equation, Green’s function, Peierls bracket.
Nothing yet to look at. This is just to let you know in case you are watching the logs and are wondering.
Link scalar field theory does not seem to exist.
Thanks for the alert. I thought I had implemented the redirect. Done now.
I have spelled out at scalar field a detailed derivation, in the case of the free scalar field on Minkowski spacetime, of the Poisson bracket kernel
$\{\phi(x), \phi(y)\} = CausalPropagator(x,y) \,.$(I am lacking some prefactors by powers of $2\pi$ towards the end, will fix this later.)
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