Eur. Phys. J. C (2014) 74: 2770
https://doi.org/10.1140/epjc/s10052-014-2770-1

Regular Article - Theoretical Physics

Localization of gauge fields in a tachyonic de Sitter thick braneworld

¹ Mesoamerican Centre for Theoretical Physics, Universidad Autónoma de Chiapas, Ciudad Universitaria, Kilómetro 4, Carretera Emiliano Zapata, Colonia Real del Bosque (Terán), CP 29050, Tuxtla Gutiérrez, Chiapas, México
² Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, San Rafael Atlixco 186, CP 09340, México, D.F., México
³ Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, CP 58040, Morelia, Michoacán, México
⁴ AHEP Group, Instituto de Física Corpuscular C.S.I.C./Universitat de València, C/ Catedrático José Beltrán, 2, 46980 , Paterna (Valéncia), Spain

^* e-mail: aherreraaguilar@mctp.mx

Received: 6 January 2014
Accepted: 1 February 2014
Published online: 9 April 2014

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 Schrödinger-like equation with a Pöschl–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 Schrödinger-like equation for arbitrary mass, showing that KK massive modes asymptotically behave like plane waves, as expected.