Correlation Functions in Perturbation Theory
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چکیده
involving additional fields Φ̂I(z1)Φ̂I(z2) · · ·. Note that in eq. (3) the fields are in the interaction rather than Heisenberg picture, so they evolve with time as free fields according to the free Hamiltonian Ĥ0. Likewise, |0〉 is the free theory’s vacuum, i.e. the ground state of the free Hamiltonian Ĥ0 rather than the full Hamiltonian Ĥ. To work out the relation between (1) and (3), we start by formally relating quantum fields in the Heisenberg and the interaction pictures,
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