Herrera-Aguilar, A., Rojas, A. D., & Santos, E. (2014). Localization of gauge fields in a tachyonic de Sitter thick braneworld. Eur. Phys. J. C, 74(4), 2770–6pp.
Abstract: In this work we show that universal gauge vector fields can be localized on the recently proposed 5D thick tachyonic braneworld which involves a de Sitter cosmological background induced on the 3-brane. Namely, by performing a suitable decomposition of the vector field, the resulting 4D effective action corresponds to a massive gauge field, while the profile along the extra dimension obeys a Schrodinger-like equation with a Poschl-Teller potential. It turns out that the massless zero mode of the gauge field is bound to the expanding 3-brane and allows us to recover the standard 4D electromagnetic phenomena of our world. Moreover, this zero mode is separated from the continuum of Kaluza-Klein (KK) modes by a mass gap determined by the scale of the expansion parameter. We also were able to analytically solve the corresponding Schrodinger-like equation for arbitrary mass, showing that KK massive modes asymptotically behave like plane waves, as expected.
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