Interpretation of correlator in 0+1 QFT

[gamma5772]

I don't seem to be able to fully wrap my head around the equivalence of standard QM and 0+1 QFT. In particular, I am having difficulty with the relationship between the correlator in QFT, <T\phi(t_1) \phi(t_2)> and the propagator in QM, <x', t' |x,t>.

First of all, is there any relationship between the two?

Also, I just don't know how to interpret the QFT correlator, 0+1 or otherwise, so any help would be appreciated.

 

[Avodyne]

I don't seem to be able to fully wrap my head around the equivalence of standard QM and 0+1 QFT. In particular, I am having difficulty with the relationship between the correlator in QFT, <T\phi(t_1) \phi(t_2)> and the propagator in QM, <x', t' |x,t>.

First of all, is there any relationship between the two?

Also, I just don't know how to interpret the QFT correlator, 0+1 or otherwise, so any help would be appreciated.

There is no direct relation. In QM, your \phi(t) would be the position operator x(t) in the Heisenberg picture.

This relationship is explained in Srednicki's QFT text (draft version available free at his web page).