English

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 O(4)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 Z2Z_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.

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