2024
DOI: 10.1103/physrevd.110.065021
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Piecewise linear potentials for false vacuum decay and negative modes

Wen-Yuan Ai,
Jean Alexandre,
Sarben Sarkar

Abstract: We study bounce solutions and associated negative modes in the class of piecewise linear triangular-shaped potentials that may be viewed as approximations of smooth potentials. In these simple potentials, the bounce solution and action can be obtained analytically for a general spacetime dimension D. The eigenequations for the fluctuations around the bounce are universal and have the form of a Schrödinger-like equation with delta-function potentials. This Schrödinger equation is solved exactly for the negative… Show more

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