Massive p-form trapping as a p-form on a brane

  • I. C. JardimEmail author
  • G. Alencar
  • R. R. Landim
  • R. N. Costa Filho
Open Access
Regular Article - Theoretical Physics


It is shown here that the zero mode of any form field can be trapped to the brane using the model proposed by Ghoroku and Nakamura. We start proven that the equations of motion can be obtained without splitting the field in even and odd parts. The massive and tachyonic cases are studied revealing that this mechanism only traps the zero mode. The result is then generalized to thick branes. In this scenario, the use of a delta like interaction of the quadratic term is necessary leading to a “mixed” potential with singular and smooth contributions. It is also shown that all forms produces an effective theory in the brane without gauge fixing. The existence of resonances with the transfer matrix method is then discussed. With this we analyze the resonances and look for peaks indicating the existence of unstable modes. Curiously no resonances are found in opposition of other models in the literature. Finally we find analytical solutions for arbitrary p-forms when a specific kind of smooth scenario is considered.


p-branes Large Extra Dimensions Field Theories in Higher Dimensions 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • I. C. Jardim
    • 1
    Email author
  • G. Alencar
    • 1
  • R. R. Landim
    • 1
  • R. N. Costa Filho
    • 1
  1. 1.Departamento de FísicaUniversidade Federal do Ceará- Caixa Postal 6030FortalezaBrazil

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