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I am trying to write down the propagator for a scalar field theory, but I want to try and get it in the functional representation. My plan is to compute the following:

[tex]

\langle \psi (x', t') | \psi (x,t) \rangle

[/tex]

which gives the amplitude to go from x' to x. Now I guess I have to interpret this state as the ground state of the scalar field, since next I want to drop in a complete set of states

[tex]

\langle \psi (x', t') | \psi (x,t) \rangle = \int \mathcal{D}\phi \, \langle \psi (x', t') |\phi \rangle \langle \phi | \psi (x,t) \rangle = \int \mathcal{D}\phi \, \psi^{' *}[\phi] \, \psi [\phi]

[/tex]

Is this procedure correct so far? Can I assume the wave functional is the ground state of the field theory in order to continue? Thanks.

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# Propagator using Functional QFT

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