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A central potential with a massive scalar field in a Lorentz symmetry violation environment

High Energy Physics - Theory 2019-05-06 v1 Mathematical Physics math.MP Quantum Physics

Abstract

We investigate the behaviour of a massive scalar field under the influence of a Coulomb-type and central linear central potentials inserted in the Klein-Gordon equation by modifying the mass term in the spacetime with Lorentz symmetry violation. We consider the presence of a background constant vector field which characterizes the breaking of the Lorentz symmetry and show that analytical solutions to the Klein-Gordon equation can be achieved.

Keywords

Cite

@article{arxiv.1905.00939,
  title  = {A central potential with a massive scalar field in a Lorentz symmetry violation environment},
  author = {Ricardo L. L. Vitória and Humberto Belich},
  journal= {arXiv preprint arXiv:1905.00939},
  year   = {2019}
}

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25 pages, 0 figures