Eur. Phys. J. C (2012) 72: 1942
https://doi.org/10.1140/epjc/s10052-012-1942-0

Regular Article - Theoretical Physics

Kalb–Ramond excitations in a thick-brane scenario with dilaton

¹ Grupo de Física Teórica, State University of Ceara (UECE), Av. Paranjana 1700, 60740-903, Fortaleza, CE, Brazil
² State University Vale do Acaraú, Av. da Universidade 850, 62040-370, Sobral, CE, Brazil

^* e-mail: hugochristiansen@yahoo.com.br

Received: 3 November 2011
Revised: 9 February 2012
Published online: 27 March 2012

Abstract

We compute the full spectrum and eigenstates of the Kalb–Ramond field in a warped non-compact Randall–Sundrum-type five-dimensional spacetime in which the ordinary four-dimensional braneworld is represented by a sine-Gordon soliton. This 3-brane solution is fully consistent with both the warped gravitational field and bulk dilaton configurations. In such a background we embed a bulk antisymmetric tensor field and obtain, after reduction, an infinite tower of normalizable Kaluza–Klein massive components along with a zero mode. The low lying mass eigenstates of the Kalb–Ramond field may be related to the axion pseudoscalar. This yields phenomenological implications on the space of parameters, particularly on the dilaton coupling constant. Both analytical and numerical results are given.