On the Lorentz-Invariance of the Dyson Series in Theories with Derivative Couplings
Keywords:quantum field theory, canonical quantization, Dyson series, Wick’s theorem
We study the Dyson series for the S-matrix, when the interaction depends on derivatives of the fields. We concentrate on two particular examples: the scalar electrodynamics and the renormalized ф4 theory. By using Wick’s theorem, we eventually give evidence that the Lorentz invariance is satisfied, and the usual Feynman rules can be applied to the interaction Lagrangian.
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