# Goldberger–Wise mechanism

In particle physics, the **Goldberger–Wise mechanism**^{[1]}^{[2]} is a popular mechanism that determines the size of the fifth dimension in Randall–Sundrum models. The mechanism uses a scalar field that propagates throughout the five-dimensional bulk. On each of the branes that end the fifth dimension (frequently referred to as the Planck brane and TeV brane, respectively) there is a potential for this scalar field. The minima for the potentials on the Planck brane and TeV brane are different and causes the vacuum expectation value of the scalar field to change throughout the fifth dimension. This configuration generates a potential for the radion causing it to have a vacuum expectation value and a mass. With reasonable values for the scalar potential, the size of the extra dimension is large enough to solve the hierarchy problem.

## ReferencesEdit

**^**W. Goldberger and M. Wise (1999). "Modulus stabilization with bulk fields".*Physical Review Letters*.**83**(24): 4922–4925. arXiv:hep-ph/9907447. Bibcode:1999PhRvL..83.4922G. doi:10.1103/PhysRevLett.83.4922. S2CID 13183017.**^**W. Goldberger and M. Wise (2000). "Phenomenology of a stabilized modulus".*Physics Letters B*.**475**(3–4): 275–279. arXiv:hep-ph/9911457. Bibcode:2000PhLB..475..275G. doi:10.1016/S0370-2693(00)00099-X. S2CID 119046278.

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