Variance and 2 point function in perturbation theory

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karlzr
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When we try to find the statistical correlation of some perturbation between two positions, we always calculate the quantum 2-point function. Are these two concepts really the same?
Also, people say vacuum fluctuation is gaussian. For normalized fields, we always use Bunch-Davies initial condition ##\frac{1}{\sqrt{2k}}e^{-i k \tau}##. So in which sense do we say it is gaussian?
Thanks! Any reference would be appreciated!
 
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It shouldn't have been moved to quantum physics. It is absolutely cosmology! Cosmological perturbations at very early times of the universe. I should have made it clear in the previous post.
 
I think you should try the "Report" button to get attention of somebody from the staff.
 
Still need help. Thanks!