Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-08
Phys.Rev. D63 (2001) 105005
Physics
High Energy Physics
High Energy Physics - Theory
14 pages
Scientific paper
10.1103/PhysRevD.63.105005
We propose a method of determining masses in brane scenarios which is independent of coordinate transformations. We apply our method to the scenario of Randall and Sundrum (RS) with two branes, which provides a solution to the hierarchy problem. The core of our proposal is the use of covariant equations and expressing all coordinate quantities in terms of invariant distances. In the RS model we find that massive brane fields propagate proper distances inversely proportional to masses that are not exponentially suppressed. The hierarchy between the gravitational and weak interactions is nevertheless preserved on the visible brane due to suppression of gravitational interactions on that brane. The towers of Kaluza-Klein states for bulk fields are observed to have different spacings on different branes when all masses are measured in units of the fundamental scale. Ratios of masses on each brane are the same in our covariant and the standard interpretations. Since masses of brane fields are not exponentiated, the fundamental scale of higher-dimensional gravity must be of the order of the weak scale.
Grinstein Benjamin
Nolte Detlef R.
Skiba Witold
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