Non-constant ground states for symmetry-breaking fields in brane world models
High Energy Physics - Theory
2009-11-10 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0404158,
title = {Non-constant ground states for symmetry-breaking fields in brane world models},
author = {Alan Knapman and David J. Toms},
journal= {arXiv preprint arXiv:hep-th/0404158},
year = {2009}
}
Comments
3 pages, 2 figures