Saddle-point approximation to the false vacuum decay at finite temperature in one-dimensional quantum mechanics

作者：Koji Harada, Tao, Shuichiro, Qiang Yin · 发表于：arXiv (Cornell University) · 年份：2024 · DOI：10.48550/arxiv.2410.19418 · 研究领域：Spectral Theory in Mathematical Physics、Quantum Electrodynamics and Casimir Effect、Quantum Mechanics and Non-Hermitian Physics

We calculate the false-vacuum decay rate in one-dimensional quantum mechanics on the basis of the saddle-point approximation in the Euclidean path integral at finite temperature. The saddle points are the finite-T and shifted bounce solutions, which are finite-period analogs of the (zero-temperature) bounce solution, and the shot solutions. We re-examined the zero-temperature result by Callan and Coleman and compare with the zero-temperature limit of our results. We also perform some numerical calculations to illustrate the temperature dependence of the decay rate and compare it with the result by Affleck.