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Reduced-order Bopp-Podolsky model on the null-plane

High Energy Physics - Theory 2025-01-03 v1 Mathematical Physics math.MP

Abstract

We consider the null-plane dynamics for a reduced-order version of the higher-derivatives Bopp-Podoslky 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 x+x^+ 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.

Keywords

Cite

@article{arxiv.2501.00133,
  title  = {Reduced-order Bopp-Podolsky model on the null-plane},
  author = {Mario C. Bertin and Ronaldo Thibes},
  journal= {arXiv preprint arXiv:2501.00133},
  year   = {2025}
}
R2 v1 2026-06-28T20:52:51.335Z