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I have Wick's rotated a contour integration of the form

[tex]\frac{i\lambda}{2}\int d^{3}p\int \frac{dE}{(2\pi)^{4}}\frac{1}{E^{2}-p^{2}-m^{2}}[/tex]

this is the form where we integrate along the real line, we rotate this to 'Euclidean' Space such that we make the changes

[tex]E\rightarrow iE\: ,\: p^{2}\rightarrow-p_{E}^{2}[/tex]

Where I think the change on the right of the momentum is the same as

[tex]p\rightarrow ip_{E}[/tex]

I'm not sure how to impose these changes on the integration measures dE and d^{3}p? I think we just get an 'i' factor from the change to the dE but not sure how to do the p integration measure.

Thanks for any help guys,

SK

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# Wick's Rotation contour integration

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