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Negative Mode Problem of False Vacuum Decay Revisited

High Energy Physics - Theory 2021-12-09 v2 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

We study negative modes around the Coleman-de Luccia bounce solution. The conditions for the appearance of an infinite number of the negative modes do not coincide between Lagrangian and Hamiltonian formulations in the literature, and we discuss the origin of this difference in detail. We show how different choices of the variable for the fluctuation around the bounce solution affect the negative mode condition in the Hamiltonian approach, and point out that there exists a choice which gives the same negative mode condition as the Lagrangian approach.

Keywords

Cite

@article{arxiv.2010.04462,
  title  = {Negative Mode Problem of False Vacuum Decay Revisited},
  author = {Ryusuke Jinno and Ryosuke Sato},
  journal= {arXiv preprint arXiv:2010.04462},
  year   = {2021}
}

Comments

23 pages, v2: published version

R2 v1 2026-06-23T19:12:10.366Z