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Journal Article

Negative Modes of Oscillating Instantons

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Lavrelashvili,  George V.
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Lehners,  Jean-Luc
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE;

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1208.2182
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PRD86_124001.pdf
(Any fulltext), 496KB

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Citation

Battarra, L., Lavrelashvili, G. V., & Lehners, J.-L. (2012). Negative Modes of Oscillating Instantons. Physical Review D, 86: 124001. doi:10.1103/PhysRevD.86.124001.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0010-0D17-7
Abstract
We investigate in detail the properties of oscillating instanton solutions discussed recently in the literature. We find that the solutions with N nodes contain exactly N homogeneous negative modes in their spectrum of linear perturbations. The existence of extra negative modes for the N > 1 solutions suggest that they are not final state physical objects resulting from tunneling, but rather unstable intermediate thermal configurations. By contrast, the single negative mode for the N = 1 instanton confirms its interpretation as mediating the curved-space tunneling between vacua with equal energy densities.