Hi all, so I've come across the following Gaussian integral in QFT...but it has a denominator and I am completely stuck!(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{0}^{\infty} \frac{dx}{(x+i \epsilon)^{a}}e^{-B(x-A)^{2}} [/tex]

where a is a power I need to leave arbitrary for now, but hope to take between 0 and 1, and [itex] \epsilon [/itex] is arbitrarily small.

Does any one have any suggestions on how to tackle this? If not, I'd like to leave a arbitrary, but perhaps is can be set to 1/2. Would this then be doable? Thanks for any help!!

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# Gaussian Integral with Denominator in QFT

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