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Mar 20, 2013 at 18:08 vote accept J L
Mar 17, 2013 at 12:09 history edited J L CC BY-SA 3.0
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Mar 17, 2013 at 11:51 history edited J L CC BY-SA 3.0
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Mar 16, 2013 at 19:30 comment added J L Thank you, sorry for that silly error. Tomorrow I will update my answer with that and the proof of the CCR in the momentum basis.
Mar 16, 2013 at 19:04 comment added twistor59 If you look at P&S p xxi, they note that in three-dimensional FTs, the signs in the exponents are reversed from the ones in their 4d equations, and 3d is what you're doing.
Mar 16, 2013 at 18:35 comment added J L I was following Peskin's convention $\int d^4x e^{ikx}=(2\pi)^4\delta^{4}(k)$
Mar 16, 2013 at 18:33 comment added twistor59 In the very first integral, where you're transforming $\phi(x)$ to momentum space I think you should be integrating against $e^{-ip'x}$ (i.e. minus sign) and ditto when you're transforming $\pi(x)$ to momentum space
Mar 16, 2013 at 18:21 history edited J L CC BY-SA 3.0
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Mar 16, 2013 at 18:05 history edited J L CC BY-SA 3.0
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Mar 16, 2013 at 17:32 history answered J L CC BY-SA 3.0