Interparticle potential energy for D-dimensional electromagnetic models from the corresponding scalar ones

Antonio Accioly, José Helayël-Neto, Gilson Correia, Gustavo Brito, José de Almeida, and Wallace Herdy
Phys. Rev. D 93, 105042 – Published 26 May 2016

Abstract

Using a method based on the generating functional plus a kind of “correspondence principle”—which acts as a bridge between the electromagnetic and scalar fields—it is shown that the interparticle potential energy concerning a given D-dimensional electromagnetic model can be obtained in a simple way from that related to the corresponding scalar system. The D-dimensional electromagnetic potential for a general model containing higher derivatives is then found from the corresponding scalar one and the behavior of the former is analyzed at large as well as small distances. In addition, we investigate the presence of ghosts in the four-dimensional version of the potential associated with the model above and analyze the reason why the Coulomb singularity is absent from this system. The no-go theorem by Ostrogradski is demystified as well.

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  • Received 18 February 2016

DOI:https://doi.org/10.1103/PhysRevD.93.105042

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Antonio Accioly*, José Helayël-Neto, Gilson Correia, Gustavo Brito§, José de Almeida, and Wallace Herdy

  • Laboratório de Física Experimental (LAFEX), Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, Urca, 22290-180 Rio de Janeiro, RJ, Brazil

  • *accioly@cbpf.br
  • helayel@cbpf.br
  • gilson@cbpf.br
  • §gpbrito@cbpf.br
  • josejr@cbpf.br
  • wallacew@cbpf.br

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Issue

Vol. 93, Iss. 10 — 15 May 2016

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