Modern theories of interactions in particle physics are gauge ones. I know how t

Question

Modern theories of interactions in particle physics are gauge ones. I know how the gauge fields are introduced in equations (D=?+A). I just do not see any physical motivation in it. I am afraid it is done by analogy with QED and that's it. I conclude that it is not the only possible way of description of interactions. But maybe there is something essential that I am missing?

EDIT: As the main failure of gauge way of "introducing" interactions I can point out its intrinsically perturbative character. One cannot switch off permanent interaction without severe problems.

dbrane answered to that in comments "... you can treat gauge field theories non-perturbatively and still gather valuable insights ..." Let us see. First question: With what does A interact - with bare or real

Explanation / Answer

You sure are having battles here, Vladimir! I find myself, however, having moderate sympathy with this particular question.

I think your comment,

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