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Bopp–Podolsky scalar electrodynamics propagators and energy-momentum tensor in covariant and light-front coordinates

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Abstract

We consider the interaction between a charged scalar boson and the Bopp–Podolsky gauge fields. The Bopp–Podolsky (BP) electrodynamics possesses both massive and massless propagation modes for the photon, while preserving gauge invariance. We obtain the propagator of all fields present in the model for the higher-order generalizations of the linear covariant, light-front and doubly transverse light-front gauges. Although BP’s original model is described by a higher-order derivatives Lagrangian, it is possible to work with an equivalent reduced-order version by means of the introduction of an auxiliary vector field. We compute the gauge-invariant improved energy-momentum tensor for the full reduced-order interacting BP model. Besides the more traditional front-form view, we also discuss the light-front perspective in both versions of the model. Within a Lagrangian framework approach, we maintain explicit covariance at all steps and show that the field propagators, as well as the energy-momentum tensor, can be cast into a light-front closed form using specific properties of general coordinate transformations.

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Notes

  1. In the sense, that \(\lim _{r\rightarrow 0^+} V(r) = 1/a\).

  2. The Lorentz indexes run from 0 to 3 in Minkowski space with metric convention \(\eta ^{\mu \nu } = \text{ diag }(1,-1,-1,-1)\).

  3. The indexes l, m, n in Eqs. (40) and (41), similarly to i, j, k, also vary along the perpendicular direction assuming the values 1 and 2.

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Acknowledgements

J. H. S. was supported by Conselho Nacional de Desenvolvimento Cientítico e Tecnológico, 315519/2018-5; Fundaçao de Amparo à Pesquisa do Estado da Bahia, PIE 0013/2016; and Coordenaçao de Aperfeiçoamento de Pessoal de Nível Superior. I. G. O. was supported by Fundaçao de Amparo à Pesquisa do Estado da Bahia, BOL0037/2017.

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Authors and Affiliations

  1. Universidade Estadual de Santa Cruz, Rod, Jorge Amado Km 16, 45662-900, Ilhéus, BA, Brazil

    Ilane Gomes Oliveira & Jorge Henrique Sales

  2. Universidade Estadual do Sudoeste da Bahia, Rodovia BR 415, Km 03, S/N-Itapetinga, Bahia, Brazil

    Ronaldo Thibes

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  1. Ilane Gomes Oliveira
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  2. Jorge Henrique Sales
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  3. Ronaldo Thibes
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Correspondence to Ronaldo Thibes.

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Oliveira, I.G., Sales, J.H. & Thibes, R. Bopp–Podolsky scalar electrodynamics propagators and energy-momentum tensor in covariant and light-front coordinates. Eur. Phys. J. Plus 135, 713 (2020). https://doi.org/10.1140/epjp/s13360-020-00733-w

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