# Integration question in Peskin and Schroeder

1. Aug 3, 2012

### ianhoolihan

Hi all, I'm stuck with proving the last step of (2.51) in Peskin and Schroeder:
\begin{align} D(x-y) &= \frac{1}{4\pi^2}\int^\infty_m dE \sqrt{E^2 - m^2}e^{-iEt}\\ & \approx_{t \to \infty}\ \ e^{-imt}\end{align}

I've read on another post that the solution is to use the method of stationary phase, but I do not see how this applies, as $E$ is not a rapidly oscillating function...?

Thoughts appreciated,

Ianhoolihan

2. Aug 4, 2012

3. Aug 4, 2012

### ianhoolihan

Thanks strangerep,

The thread I referred to was https://www.physicsforums.com/showthread.php?t=424778.

Your post does make it clearer, in that it stems from a limit of the exact solution (Bessel function). I will look through the details soon.

Cheers.

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