Instanton solutions mediating tunneling between the degenerate vacua in curved space

Details Instanton solutions mediating tunneling between the degenerate vacua in curved space Instanton solutions mediating tunneling between the degenerate vacua in curved space

2009-10-09

arxiv.org/abs/0910.1653v3

PRD 2010

Physics

High Energy Physics

High Energy Physics - Theory

Some typos are corrected and references are added with respect to the published version. 17pages, 11fig

Scientific paper

We investigate the instanton solution between the degenerate vacua in curved space. We show that there exist $O(4)$-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 $Z_2$ 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.

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