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  Aspects of the negative mode problem in quantum tunneling with gravity

Bramberger, S., Chitishvili, M., & Lavrelashvili, G. V. (in preparation). Aspects of the negative mode problem in quantum tunneling with gravity.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-D83A-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-D931-1
Genre: Paper

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1906.07033.pdf (Preprint), 690KB
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 Creators:
Bramberger, Sebastian1, Author              
Chitishvili, Mariam, Author
Lavrelashvili, George V.2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753351              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: Some solutions describing vacuum decay exhibit a catastrophic instability. This, so-called negative mode problem in quantum tunneling with gravity, was discovered 34 years ago and in spite of the fact that in these years many different groups worked on this topic, it has still not been resolved. Here, we briefly summarize the current status of the problem and investigate properties of the bounces, numerically and analytically for physically interesting potentials. In the framework of the Hamiltonian approach we show that for generic polynomial potentials the negative mode problem could arise at energies much lower than the Planck mass, indicating that the negative mode problem is not related to physics at the Planck scale. At the same time we find that for a Higgs like potential, as it appears in the standard model, the problem does not appear at realistic values of the potential's parameters but only at the Planck scale.

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 Dates: 2019-06-17
 Publication Status: Not specified
 Pages: 16 pages, 8 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1906.07033
URI: http://arxiv.org/abs/1906.07033
 Degree: -

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