A Vacuum persistence amplitude

In the functional integral approach to quantum field theory, we have

W[J] = ⟨0+|0-J = ∫ D[Φ] eiS + ∫ JΦ

Can someone give me some insight into why this path integral is a vacuum-to-vacuum amplitude. How and also why does this path integral W[J] become a vev?
 

MathematicalPhysicist

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Isn't it discussed in Sredinicki's?
 

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