Quantum effects, brane tension and large hierarchy in the brane-world
Abstract
Semiclassical Einstein's equation with conformally invariant bulk matter fields is examined in the brane world scenario with the S^1/Z_2 compactification. Exact semiclassical solutions are obtained and it is shown that (a) tension of our brane can be made positive or negative whichever one likes; and that (b) if Casimir energy is negative and we accept a fine tuning of tension of the hidden brane, then it is possible to obtain a warp factor large enough to explain the large hierarchy for both signs of brane tension. Therefore, if the Casimir energy is negative, it is possible to take advantage of two different Randall-Sundrum scenarios by considering a positive tension for our brane and a fine-tuned tension for the hidden brane. We also show that (c) the cosmological constant on our brane is independent of the brane tensions.Keywords
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