https://doi.org/10.1140/epjp/s13360-023-04425-z
Regular Article
Causal Stepanov–Bogoliubov’s interacting fields for Yukawa’s model
1
Facultad de Ciencias, Universidad Nacional de Ingeniería (UNI), Av. Túpac Amaru S/N, Apartado, 31139, Lima, Peru
2
Institute for Theoretical Physics (IFT), São Paulo State University (UNESP), R. Dr. Bento Teobaldo Ferraz 271, 01140-070, São Paulo, SP, Brazil
Received:
14
July
2023
Accepted:
30
August
2023
Published online:
29
September
2023
We explore the properties of Stepanov–Bogoliubov’s interacting fields in the perturbative regime in the axiomatic framework of causal perturbation theory. Considering the particular and important case of Yukawa’s model that we have previously studied in the causal approach, we show the axiomatic construction of the local dynamical variables, among which the interacting fields are of most interest, and their perturbative realization in the causal approach. We prove that they satisfy interacting equations of motion at all orders in perturbation theory only if the local currents are correctly constructed. Additionally, we show that they satisfy modified Källén–Yang–Feldman’s equations, as a consequence of which the scattering operator in causal perturbation theory satisfies the definition given by Källén.
Dedicated to professor Josif Frenkel.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
