We study the Dyson series for the -matrix, when the interaction depends on derivatives of the fields. We concentrate on two particular examples: the scalar electrodynamics and the renormalized ^4 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.
On the Lorentz invariance of the Dyson series in theories with derivative couplings
Alessandro Papa
Membro del Collaboration Group
;Marco RossiMembro del Collaboration Group
2021-01-01
Abstract
We study the Dyson series for the -matrix, when the interaction depends on derivatives of the fields. We concentrate on two particular examples: the scalar electrodynamics and the renormalized ^4 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.File in questo prodotto:
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