Uniqueness of a Negative Mode About a Bounce Solution

Details Uniqueness of a Negative Mode About a Bounce Solution Uniqueness of a Negative Mode About a Bounce Solution

2002-12-23

arxiv.org/abs/hep-th/0212283v1

J.Phys. A36 (2003) L463

Physics

High Energy Physics

High Energy Physics - Theory

4 pages,LaTeX

Scientific paper

10.1088/0305-4470/36/32/101

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 $\tau=0$ with multiplicity one.

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