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.
European Physical Journal C
- Pub Date:
- March 2012
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- 10 pages, 13 figures, and 2 tables. Final version to appear in The European Physical Journal C