Remarks on the Static Potential Driven by Vacuum Nonlinearities in D=3 Models

2016/01/01 by Patricio Gaete, J. A. Helayël-Neto, Gaete, Patricio +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Coulomb #FOS: Physical sciences #Formalism (music) #High Energy Physics - Theory (hep-th) #Invariant (physics) #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #hep-th

paper · pdf · doi:10.48550/arxiv.1607.02997

published in arXiv (Cornell University) (Cornell University) · 9 pages

openalex publication_date 2016/01/01 · arxiv created 2016/07/11 · arxiv updated 2016/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the manifestations of vacuum electromagnetic nonlinearities in D=3 models. For this we consider both generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics, as well as Euler-Heisenberg-like electrodynamics. We explicitly show that generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics are equivalent, where the static potential profile contains a long-range (1/r2-type) correction to the Coulomb potential. Interestingly enough, for Euler-Heisenberg-like electrodynamics the interaction energy contains a linear potential, leading to the confinement of static charges.

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