Non-constant ground states for symmetry-breaking fields in brane world models

Details Non-constant ground states for symmetry-breaking fields in brane world models Non-constant ground states for symmetry-breaking fields in brane world models

2004-04-21

arxiv.org/abs/hep-th/0404158v1

Phys.Lett. B594 (2004) 213-217

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, 2 figures

Scientific paper

10.1016/j.physletb.2004.05.017

We obtain an approximate analytical solution for the ground state of a bulk scalar field with a double-well potential in the Randall-Sundrum brane world background, in a situation where the boundary conditions rule out a constant field configuration except for the zero solution. The stability of the zero solution is determined by the brane separation. We find our approximation near the critical separation at which the zero solution becomes unstable to small perturbations.

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