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I once wrote a blog post about this once: gravityandlevity.wordpress.com/2013/05/08/the It's also page 1 of the amazing book "Approximation Methods in Quantum Mechanics" by Migdal.
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People were asking about dimensional analysis. If a technique produces a three-line proof of Pythagoras, come on! you know you've got something good. Here's a sketch -- full details and caveats in Barenblatt's "Scaling."
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