On the Lorentz-Invariance of the Dyson Series in Theories with Derivative Couplings

Authors

  • V. Denisi Dipartimento di Fisica, Universit`a della Calabria
  • A. Papa Dipartimento di Fisica, Universit`a della Calabria, Istituto Nazionale di Fisica Nucleare, Gruppo collegato di Cosenza
  • M. Rossi Dipartimento di Fisica, Universit`a della Calabria, Istituto Nazionale di Fisica Nucleare, Gruppo collegato di Cosenza

DOI:

https://doi.org/10.15407/ujpe66.11.945

Keywords:

quantum field theory, canonical quantization, Dyson series, Wick’s theorem

Abstract

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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Published

2021-11-30

How to Cite

Denisi, V., Papa, A., & Rossi, M. (2021). On the Lorentz-Invariance of the Dyson Series in Theories with Derivative Couplings. Ukrainian Journal of Physics, 66(11), 945. https://doi.org/10.15407/ujpe66.11.945

Issue

Section

Fields and elementary particles