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arXiv · hep-th/0212283

Uniqueness of a Negative Mode About a Bounce Solution

Michael Maziashvili
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Abstract

We consider the uniqueness problem of a negative eigenvalue in the spectrum of small fluctuations about a bounce solution in a multidimensional case. Our approach is based on the concept of conjugate points from Morse theory and is a natural generalization of the nodal theorem approach usually used in one dimensional case. We show that bounce solution has exactly one conjugate point at $τ=0$ with multiplicity one.

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Michael Maziashvili. 2002-12-23. Uniqueness of a Negative Mode About a Bounce Solution. https://doi.org/10.1088/0305-4470%2F36%2F32%2F101

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