Undergrad Where Are the Poles of the Integrand for Δ<0 in Wick Rotation?

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Hi I would like to ask why we can still do Wick rotations even if \Delta<0
it's from Schwartz qft
26BBB60B-67DB-4DAD-8B24-4422F09AEC17.png
 
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Just think about where the poles of the integrand are for ##\Delta<0##.
 

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