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Open Quantum Systems Decoherence

Piecewise linear potentials for false vacuum decay and negative modes

arXiv
Authors: Wen-Yuan Ai, Jean Alexandre, Sarben Sarkar

Year

2024

Paper ID

66929

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

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 modes whose number is confirmed to be one. The latter result may justify the usefulness of such piecewise linear potentials in the study of false vacuum decay.

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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2406.02414 [2] arXiv https://arxiv.org/abs/2406.02414 [3] Publisher https://arxiv.org/abs/2406.02414

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