Readdressing the hierarchy problem in a Randall-Sundrum scenario with bulk Kalb-Ramond background
نویسندگان
چکیده
We re-examine the fine tuning problem of the Higgs mass, when an antisymmetric two form Kalb-Ramond (KR) field is present in the bulk of a Randall-Sundrum (RS) braneworld. Taking into account the back-reaction of the KR field, we obtain the exact correction to the RS metric. The modified metric also warps the Higgs mass from Planck scale (in higher dimension) to TeV scale (on the visible brane) for a range of values of kr exceeding the original RS value (where k = Planck mass and r = size of extra dimension). However, it requires an extraordinary suppression of the KR field density, indicating the re-appearence of the fine tuning problem in a different guise. The new spacetime also generates a small negative cosmological constant on the visible brane. These results are particularly relevant for certain string based models, where the KR field is unavoidably present in the bulk. We further show that such a bulk antisymmetric KR field fails to stabilize the braneworld.
منابع مشابه
Randall-Sundrum with Kalb-Ramond field: return of the hierarchy problem?
We show that when the antisymmetric Kalb-Ramond field is included in the Randall-Sundrum scenario, although the hierarchy problem can be solved, it requires an extreme fine tuning of the Kalb-Ramond field (about 1 part in 10). We interpret this as the return of the problem in disguise. Further, we show that the Kalb-Ramond field induces a small negative cosmological constant on the visible brane.
متن کاملBulk Kalb-Ramond field in Randall Sundrum scenario
We have considered the most general gauge invariant five-dimensional action of a second rank antisymmetric Kalb-Ramond tensor gauge theory, including a topological term of the form ǫBABHLMN in a Randall-Sundrum scenario. Such a tensor field BAB (whose rank-3 field strength tensor is HLMN ), which appears in the massless sector of a heterotic string theory, is assumed to coexist with the gravity...
متن کاملDoes a randall-sundrum scenario create the illusion of a torsion-free universe?
We consider spacetime with torsion in a Randall-Sundrum scenario where torsion, identified with the rank-2 Kalb-Ramond field, exists in the bulk together with gravity. While the interactions of both graviton and torsion in the bulk are controlled by the Planck mass, an additional exponential suppression comes for the torsion zero-mode on the visible brane. This may serve as a natural explanatio...
متن کاملA Randall-Sundrum scenario with bulk dilaton and torsion
We consider a string-inspired torsion-dilaton-gravity action in a Randall-Sundrum brane world scenario and show that, in an effective four-dimensional theory on the visible brane, the rank-2 antisymmetric Kalb-Ramond field (source of torsion) is exponentially suppressed. The result is similar to our earlier result in [13], where no dilaton was present in the bulk. This offers an explanation of ...
متن کاملar X iv : h ep - t h / 05 07 08 5 v 2 14 J ul 2 00 5 Kalb - Ramond field interactions in a braneworld scenario
Electromagnetic and (linearized) gravitational interactions of the Kalb-Ramond (KR) field, derived from an underlying ten dimensional heterotic string in the zero slope limit, are studied in a five dimensional background Randall-Sundrum I spacetime with standard model fields confined to the visible brane having negative tension. The warp factor responsible for generating the gauge hierarchy in ...
متن کامل