https://doi.org/10.1140/epjp/s13360-025-06279-z
Regular Article
Reduced-order Bopp-Podolsky model on the null-plane
1
Institute for Theoretical Physics, São Paulo State University, 01156-970, São Paulo, Brazil
2
Departamento de Ciências Exatas e Naturais, Universidade Estadual do Sudoeste da Bahia, 45700-000, Itapetinga, BA, Brazil
Received:
30
December
2024
Accepted:
27
March
2025
Published online:
25
April
2025
We consider the null-plane dynamics for a reduced-order version of the higher-derivatives Bopp-Podolsky generalized electrodynamics model. By introducing an auxiliary vector field, we achieve a simpler equivalent version with lower derivatives. The massive and massless modes for the Podolsky gauge field get split into two sectors. We describe the model in terms of light-front coordinates and, by choosing 
as a natural evolution parameter, proceed to its null-plane dynamics analysis obtaining the whole constraints structure and canonical field equations. After a convenient constraints redefinition, we calculate the Dirac brackets corresponding to the second-class sector. Gauge invariance is preserved and, after elimination of second-class constraints, we obtain a consistent Abelian first-class theory for the reduced-order Bopp-Podolsky model.
M. Bertin: On leave of absence from Universidade Federal da Bahia (UFBA), Physics Institute, Salvador, Bahia, Brazil.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
