28 Jul 1999 | Walter D. Goldberger* and Mark B. Wise†
The authors propose a mechanism to stabilize the size of the extra dimension in the Randall-Sundrum scenario by introducing a bulk scalar field with quartic interactions localized on two 3-branes. This bulk scalar field generates a potential for the modulus field that sets the size of the fifth dimension, which can be minimized to yield a compactification scale that solves the hierarchy problem without fine-tuning of parameters. The potential is derived from the bulk action and interaction terms on the branes, leading to a minimum value of the compactification scale \( k r_c \) of order 10. The mechanism is shown to be robust against large values of the bulk cosmological constant and brane tensions, making it a generic effect in the presence of a \(\phi\)-dependent vacuum bulk field configuration. This approach provides a solution to the hierarchy puzzle without the need for fine-tuning and offers insights into the cosmology of the scenario at temperatures above the weak scale.The authors propose a mechanism to stabilize the size of the extra dimension in the Randall-Sundrum scenario by introducing a bulk scalar field with quartic interactions localized on two 3-branes. This bulk scalar field generates a potential for the modulus field that sets the size of the fifth dimension, which can be minimized to yield a compactification scale that solves the hierarchy problem without fine-tuning of parameters. The potential is derived from the bulk action and interaction terms on the branes, leading to a minimum value of the compactification scale \( k r_c \) of order 10. The mechanism is shown to be robust against large values of the bulk cosmological constant and brane tensions, making it a generic effect in the presence of a \(\phi\)-dependent vacuum bulk field configuration. This approach provides a solution to the hierarchy puzzle without the need for fine-tuning and offers insights into the cosmology of the scenario at temperatures above the weak scale.