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arXiv · 2008.03168

On the Lorentz-invariance of the Dyson series in theories with derivative couplings

Vincenzo Denisi·Alessandro Papa·Marco Rossi
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Abstract

We speculate on Dyson series for the $S$-matrix when the interaction depends on derivatives of the fields. We stick on two particular examples: the scalar electrodynamics and the renormalised $ϕ^4$ theory. We eventually give evidence that Lorentz invariance is satisfied and that usual Feynman rules can be applied to the interaction Lagrangian.

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Vincenzo Denisi, Alessandro Papa, Marco Rossi. 2021-01-25. On the Lorentz-invariance of the Dyson series in theories with derivative couplings. https://arxiv.org/abs/2008.03168

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