https://doi.org/10.1140/epjp/s13360-024-04980-z
Regular Article
Duality as a method to derive a gauge invariant massive electrodynamics and new interactions
1
Center of Mathematics, Federal University of ABC, 09210-580, Santo André, Brazil
2
Institute of Theoretical Physics, Sao Paulo State University, 01156-970, São Paulo, Brazil
Received:
19
September
2023
Accepted:
6
February
2024
Published online:
13
March
2024
Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the full radiative corrections. A discussion on duality is extended for nonlinearly interacting models. The alternative tensor structure allows a new local self-interaction and also a partial gauge invariant mass term. In this way, the renormalization conditions, a new interaction, Ward–Takahashi identities for all the sets of gauge symmetries, and the Schwinger–Dyson quantum equations are carefully provided to consistently characterize the propagating modes of the quantum system. The possibility of this gauge invariant massive extension is considered from the perspective of a generalized Stueckelberg procedure for higher derivative systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.