Instanton solutions mediating tunneling between the degenerate vacua in curved space
High Energy Physics - Theory
2014-11-20 v3 General Relativity and Quantum Cosmology
Abstract
We investigate the instanton solution between the degenerate vacua in curved space. We show that there exist -symmetric solutions not only in de Sitter but also in both flat and anti-de Sitter space. The geometry of the new type of solutions is finite and preserves the symmetry. The nontrivial solution corresponding to the tunneling is possible only if gravity is taken into account. The numerical solutions as well as the analytic computations using the thin-wall approximation are presented. We expect that these solutions do not have any negative mode as in the instanton solution.
Keywords
Cite
@article{arxiv.0910.1653,
title = {Instanton solutions mediating tunneling between the degenerate vacua in curved space},
author = {Bum-Hoon Lee and Chul H. Lee and Wonwoo Lee and Changheon Oh},
journal= {arXiv preprint arXiv:0910.1653},
year = {2014}
}
Comments
Some typos are corrected and references are added with respect to the published version. 17pages, 11fig