On the Existence of Tunneling Bounce Solutions in Piecewise Linear Potentials

Details On the Existence of Tunneling Bounce Solutions in Piecewise Linear Potentials On the Existence of Tunneling Bounce Solutions in Piecewise Linear Potentials

2012-02-13

arxiv.org/abs/1202.2721v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 4 figures

Scientific paper

Coleman tunneling in a general scalar potential with two non-degenerate minima is known to have an approximation in terms of a piecewise linear triangular-shaped potential with sharp 'kinks' at the place of the local minima. This approximate potential has a regime where the existence of the bounce solution needs the scalar field to 'wait' for some amount of Euclidean time at one of the 'kinks'. We discuss under which circumstances the correct bounce action can be consistently obtained as the limiting case of a regular scalar potential where 'kinks' are resolved as locally smooth 'cap' regions.

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