论文标题
所有顺序的气泡成核
Bubble Nucleation to All Orders
论文作者
论文摘要
本文扩展了Langer和Kramers的经典结果，并将它们与高温场理论的现代方法相结合。假设Langevin动力学，最终产品是对高温下气泡核的全端描述。具体而言，这表明平衡和非平衡效应将所有顺序分解为所有顺序，并且成核速率分为统计和动力学预成分。该派生阐明并结合了零模型的高阶校正。对于扰动理论中的所有秩序，该速率也被证明是真实的。这些方法应用于多种模型。因此，给出了Feynman规则；引入了相关的功率计数；显示RG不变性；讨论了与有效动作的联系，并在不均匀的背景下明确构造了传播器的明确构造。形式主义适用于相位和Sphaleron过渡。虽然主要集中于现场理论，但这些方法适用于有限维系统。最后，正如本文假定有效的Langevin描述一样，所有结果仅在此框架内。
This paper extends classical results by Langer and Kramers and combines them with modern methods from high-temperature field theory. Assuming Langevin dynamics, the end-product is an all-orders description of bubble-nucleation at high temperatures. Specifically, it's shown that equilibrium and non-equilibrium effects factorize to all orders, and that the nucleation rate splits into a statistical and a dynamical prefactor. The derivation clarifies, and incorporates, higher-order corrections from zero-modes. The rate is also shown to be real to all orders in perturbation theory. The methods are applied to several models. As such, Feynman rules are given; the relevant power-counting is introduced; RG invariance is shown; the connection with the effective action is discussed, and an explicit construction of propagators in an inhomogeneous background is given. The formalism applies to both phase and Sphaleron transitions. While mainly focused on field theory, the methods are applicable to finite-dimensional systems. Finally, as this paper assumes an effective Langevin description, all results only hold within this framework.
