I would like to prove Feynman's denominator formula:(adsbygoogle = window.adsbygoogle || []).push({});

##\frac{1}{A_{1}\dots A_{n}} = (n-1)!\int_{0}^{1}dx_{1}\dots dx_{n}\delta(x_{1}+\dots+x_{n}-1)(x_{1}A_{1}+\dots+x_{n}A_{n})^{-n}##

I was wondering if you would recommend brute force approach to solving this problem. I proved the formula for ##n=1,2,3##, and then attempted for the general case using a brute force but the algebra looks messy.

Would you recommend trying an alternative method, perhaps proof by induction?

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# A Feynman's denominator formula

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