论文标题

真空衰减和欧几里得晶格蒙特卡洛

Vacuum Decay and Euclidean Lattice Monte Carlo

论文作者

Shen, Jiayu, Draper, Patrick, El-Khadra, Aida X.

论文摘要

亚稳态真空的衰减速率通常使用欧几里得路径积分的半经典近似计算。然而,完全不适合数值处理的分析连续性和亚稳态状态的非平衡性质,妨碍了完整的欧几里得晶格蒙特卡洛计算的扩展。在本文中,我们开发了一种新的方法来计算欧几里得晶格理论的蒙特卡洛模拟的真空衰减速率。为了测试新方法,我们考虑具有亚稳态真空的简单量子机械系统。这项工作可以扩展到欧几里得领域理论,我们在结论中进行了讨论。

The decay rate of a metastable vacuum is usually calculated using a semiclassical approximation to the Euclidean path integral. The extension to a complete Euclidean lattice Monte Carlo computation, however, is hampered by analytic continuations that are ill-suited to numerical treatment, and the nonequilibrium nature of a metastable state. In this paper we develop a new methodology to compute vacuum decay rates from Monte Carlo simulations of Euclidean lattice theories. To test the new method, we consider simple quantum mechanical systems systems with metastable vacua. This work can be extended to Euclidean field theories, which we discuss in the Conclusions.

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