Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 48 min ago
PreprintCC BY 4.0arXiv

A new analytical finding for the Born-Infeld integral potential

  • Leonardo Paulo Guimarães De Assis
  • Priscila Valdênia dos Santos
  • Sergio de Oliveira Vellozo
  • José Abdala Helayël Neto
Open at sourcePDFDOICite

Abstract

A new finding regarding the Born-Infeld potential for short range distances from the charge revealed that its integral form can be almost exact written as the difference between a Coulomb-type potential and a Yukawa-type potential. This allowed for an immediate physical interpretation in terms of classical vacuum polarization and an effective mass. Subsequently, a new U(r) is proposed to cover the entire space. This formulation is then applied to calculate, in a closed manner, the first-order energy shifts in hydrogen-like atoms; a comparison of these shifts with high-precision spectroscopic data provides a model-dependent lower bound for the maximum field intensity parameter b.

Related

  1. Effective Lifshitz-Born-Infeld black holes from general covariance breaking
    D. C. Moreira, A. S. Lemos, F. A. Brito
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  2. Charged regular AdS3 black holes in a scalar-vector-tensor theory coupled to Born-Infeld electrodynamics
    Gokhan Alkac
    arXivPreprintCC BY 4.0Full textGravitation & general relativityHigh-energy & particle physicsarXiv
  3. Nonlinear Degrees of Freedom of Born-Infeld New Massive Gravity
    Zeynep Su Koc, Bayram Tekin
    arXivPreprintarXiv licenceFull textMathematical physicsGravitation & general relativityarXiv
  4. Topological black holes of Einsteinian cubic gravity and Born-Infeld-type electrodynamics
    Askar Ali
    arXivPreprintCC BY 4.0Full textGravitation & general relativityarXiv
  5. Dirac-Born-Infeld action from inequivalent representations of open strings
    Isao Kishimoto, Tomohiko Takahashi, Ayane Tezuka
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{assis2026analytical,
  title = {{A new analytical finding for the Born-Infeld integral potential}},
  author = {Leonardo Paulo Guimarães De Assis and Priscila Valdênia dos Santos and Sergio de Oliveira Vellozo and José Abdala Helayël Neto},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33326},
  eprint = {2610.33326},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33326},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A new analytical finding for the Born-Infeld integral potential
AU  - Leonardo Paulo Guimarães De Assis
AU  - Priscila Valdênia dos Santos
AU  - Sergio de Oliveira Vellozo
AU  - José Abdala Helayël Neto
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.33326
UR  - https://arxiv.org/abs/2610.33326
AB  - A new finding regarding the Born-Infeld potential for short range distances from the charge revealed that its integral form can be almost exact written as the difference between a Coulomb-type potential and a Yukawa-type potential. This allowed for an immediate physical interpretation in terms of classical vacuum polarization and an effective mass. Subsequently, a new U(r) is proposed to cover the entire space. This formulation is then applied to calculate, in a closed manner, the first-order energy shifts in hydrogen-like atoms; a comparison of these shifts with high-precision spectroscopic data provides a model-dependent lower bound for the maximum field intensity parameter b.
ER  -