Interesting Q someone asked: quantum electrodynamics has an obvious classical theory it corresponds to, but quantum chromodynamics and electroweak theory don’t—why’s that? Possible answer: there’s electromagnetism in daily life, but no strong or electroweak force
we treat all functions of field operators as their taylor series expansion (hint)
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Well sure, but what's it mean to apply a field with a negative exponent to a field with a positive exponent. Can you treat the operator expansion as inverse matrices? ( I'm still in the habit of expanding fields into c&a operators)
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yea the reason we don't know how to treat those is because we never learn .. we never learn them becuase they diverge about 0 or small couplings and hence don't admit a perturbative expansion ..
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