Some phenomenological aspects of the (n+m+1)-dimensional brane world scenario with an m-form field

In the D=(n+m+1)-dimensional brane world scenario with m compact dimensions, the radion modulus can be stabilised by a massive bulk m-form antisymmetric field. We analyse some of the phenomenological aspects of this scenario. We find that the radion mass is smaller than the TeV scale, but larger than that in the case where the radion modulus is stabilised by a bulk scalar field. From the macroscopic n-dimensional spacetime point of view, the m-form field mimics a set of p-form fields. We analyse the mass spectrum of these fields. The lowest mass is ≳ TeV whereas, for any bulk or brane field, the excitations in the compact space have Planckian mass and are likely to reintroduce the hierarchy problem. Also, we analyse the couplings of the m-form field to the matter fields living on a brane. The present results are applicable to more general cases also.