Aspects of the negative mode problem in quantum tunneling with gravity

التفاصيل البيبلوغرافية
العنوان: Aspects of the negative mode problem in quantum tunneling with gravity
المؤلفون: Bramberger, Sebastian F., Chitishvili, Mariam, Lavrelashvili, George
المصدر: Phys. Rev. D 100, 125006 (2019)
سنة النشر: 2019
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: General Relativity and Quantum Cosmology, High Energy Physics - Theory
الوصف: 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.
Comment: 16 pages, 8 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.100.125006
URL الوصول: http://arxiv.org/abs/1906.07033
رقم الأكسشن: edsarx.1906.07033
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.100.125006