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Main Authors: Cabral, D. S., Evangelista, L. A. S., Santos, A. F.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.16035
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author Cabral, D. S.
Evangelista, L. A. S.
Santos, A. F.
author_facet Cabral, D. S.
Evangelista, L. A. S.
Santos, A. F.
contents Podolsky electrodynamics, a higher-derivative extension of Maxwell's theory characterized by the Podolsky parameter $λ=1/m$, which modifies the photon dispersion relation and regularizes short-distance divergences, is investigated. This framework is then coupled to the Carroll-Field-Jackiw (CFJ) model, in which a Lorentz-violating background four-vector is introduced. Within this extended electrodynamics, the photon propagator is obtained in the combined Podolsky-CFJ framework and subsequently applied to Möller scattering. It is shown that the CFJ contribution can reintroduce the short-distance divergence suppressed by Podolsky's term. In the nonrelativistic limit, both the spatial component--which introduces a preferred direction in space and thus breaks isotropy--and the timelike component--which directly affects the dispersion relation--contribute nontrivially to the interaction potential.
format Preprint
id arxiv_https___arxiv_org_abs_2604_16035
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Coulomb Potential in Podolsky-Carroll-Field-Jackiw Electrodynamics
Cabral, D. S.
Evangelista, L. A. S.
Santos, A. F.
High Energy Physics - Theory
Podolsky electrodynamics, a higher-derivative extension of Maxwell's theory characterized by the Podolsky parameter $λ=1/m$, which modifies the photon dispersion relation and regularizes short-distance divergences, is investigated. This framework is then coupled to the Carroll-Field-Jackiw (CFJ) model, in which a Lorentz-violating background four-vector is introduced. Within this extended electrodynamics, the photon propagator is obtained in the combined Podolsky-CFJ framework and subsequently applied to Möller scattering. It is shown that the CFJ contribution can reintroduce the short-distance divergence suppressed by Podolsky's term. In the nonrelativistic limit, both the spatial component--which introduces a preferred direction in space and thus breaks isotropy--and the timelike component--which directly affects the dispersion relation--contribute nontrivially to the interaction potential.
title Coulomb Potential in Podolsky-Carroll-Field-Jackiw Electrodynamics
topic High Energy Physics - Theory
url https://arxiv.org/abs/2604.16035