Bosonic Fields in Crystal Manyfolds
arXiv:1301.2562 · doi:10.1016/j.physletb.2013.09.006
Abstract
A chain-like or a 1D crystal-like universe made of intersecting membranes in extra dimensions in a Randall-Sundrum scenario is studied. A background gravitational metric satisfying the right boundary conditions is considered to study the localization of the scalar, gauge and Kalb-Ramond field. It is found that the wave function for the fields are Bloch waves. The mass modes equations are calculated allowing us to show the zero-gap mass behavior and the mass dispersion relation for each field. Finally we generalize all these results and consider forms in the crystal membrane universe. We show that, depending to the dimension , the form and the dilation coupling the mass spectrum can be the same for the different bosonic field studied.
20 pages
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