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 Rossi
Membro 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.
2021
Quantum field theory
Canonical quantization
Dyson series
Wick’s theorem
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/326082
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