Article,
Massive p-form trapping as a p-form on a brane
JOURNAL OF HIGH ENERGY PHYSICS, (2015)
DOI: 10.1007/JHEP04(2015)003
Abstract
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.
