A solution of the Randall-Sundrum model and the mass hierarchy problem (Q2710224)

The author of this paper obtains a solution of the Randall-Sundrum model for a simplified case (one wall) which has some attractive features compared with the Kaluza-Klein compactification. The model is becoming a strong candidate that could solve the mass hierarchy problem. \(1/k^2\)-expansion (thin-wall expansion) is considered. Here \(1/k\) is the tickness of the domain wall. The vacuum setting is done by the five-dimensional (5D) Higgs potential and the solution is givenfor a family of the Higgs parameters. The mass hierarchy problem is examined. Some physical quantities in four-dimensional (4D) world such as the Planck mass, the cosmological constant and fermion masses are focused. Similarity to the domain wall regularization used in the chiral fermion problem is explained. It is discussed the possibility that 4D massless chiral fermions bound to the domain wall in 5D world can be regarded as real 4D fermions such as neutrons, quarks and other leptons.