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Consider the 2-point correlator of a real scalar field ##\hat{\phi}(t,\mathbf{x})##, $$\langle\hat{\phi}(t,\mathbf{x})\hat{\phi}(t,\mathbf{y})\rangle$$ How does one interpret this quantity physically? Is it quantifying the probability amplitude for a particle to be created at space-time point ##(t,\mathbf{x})## and then propagate to, and be annihilated at space-time point ##(t,\mathbf{y})##?! Or does it quantify whether the field amplitudes at two different points are related or not (i.e. whether the values of the field operator at the two different space-time points are correlated or not)? Or is there another explanation?

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