### Abstract

© 2014 American Physical Society. A simple expression for calculating the interparticle potential energy concerning D-dimensional electromagnetic models is obtained via Feynman path integral. This prescription converts the hard task of computing this potential into a trivial algebraic exercise. Since this method is equivalent to that based on the merging of quantum mechanics (to leading order, i.e., in the first Born approximation) with the nonrelativistic limit of quantum field theory, and keeping in mind that the latter relies basically on the computation of the nonrelativistic Feynman amplitude (MNR), a trivial expression for calculating MNR is obtained from the alluded prescription as an added bonus. To test the efficacy and simplicity of the method, D-dimensional interparticle potential energy is found for a well-known extension of the standard model in which the massless electrodynamics U(1)QED is coupled to a hidden sector U(1)h, as well as Lee-Wick electrodynamics.

Original language | English |
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Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

DOIs | |

Publication status | Published - 25 Nov 2014 |

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## Cite this

Accioly, A., Helayël-Neto, J., Barone, F. E., Barone, F. A., & Gaete, P. (2014). Straightforward prescription for computing the interparticle potential energy related to D-dimensional electromagnetic models.

*Physical Review D - Particles, Fields, Gravitation and Cosmology*. https://doi.org/10.1103/PhysRevD.90.105029