Straightforward prescription for computing the interparticle potential energy related to D-dimensional electromagnetic models

Antonio Accioly, José Helayël-Neto, F. E. Barone, F. A. Barone, Patricio Gaete

Research output: Contribution to journalArticle

12 Citations (Scopus)

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 languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
DOIs
Publication statusPublished - 25 Nov 2014

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