发表机构
Université de Genève; Uppsala University; Johannes Gutenberg University（日内瓦大学; 乌普萨拉大学; 约翰内斯·古腾堡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对经典共形阿贝尔-希格斯模型，开发含高维算符的微扰框架，求解相关方程后发现高维算符对强过冷相变的成核率及可观测量影响微小，同时明确了高温成核有效理论的适用范围。
AI 中文摘要
我们量化了气泡成核有效理论中高维算符的影响，聚焦于经典共形阿贝尔-希格斯模型中的过冷相变。高温维数约化将硬热修正组织为三维有效场论中的算符塔，近期结果显示，在最强相变的平衡热力学中，六维项可主导更高圈修正。为评估其对成核率及衍生的近平衡相变可观测量的影响，我们开发了一个微扰框架，将这些项纳入完整的单圈成核率中。在 bounce 作用量和涨落行列式中均包含高维算符，我们采用修正的 Gel'fand-Yaglom 方法求解无导数展开的 Sturm-Liouville 问题。对于强过冷相变，我们发现高维算符仅对成核率及所得可观测量产生微小影响。作为副产品，我们明确了过冷相变中高温成核有效理论的适用范围。
英文摘要
We quantify the impact of higher-dimensional operators in the effective theory for bubble nucleation, focusing on supercooled phase transitions in the classically conformal Abelian-Higgs model. While high-temperature dimensional reduction organizes hard thermal corrections into a tower of operators in a three-dimensional effective field theory, recent results show that dimension-six terms can dominate over higher-loop corrections to the equilibrium thermodynamics of the strongest transitions. To assess their effect on the nucleation rate and the derived near-equilibrium phase-transition observables, we develop a perturbative framework that includes them in the full one-loop nucleation rate. Including higher-dimensional operators both in the bounce action and in the fluctuation determinants, we solve the resulting Sturm-Liouville problem without a derivative expansion, using a modified Gel'fand-Yaglom method. For strongly supercooled transitions, we find that higher-dimensional operators only marginally affect the nucleation rate and the resulting observables. As a byproduct, we delineate the regime of validity of the high-temperature nucleation effective theory in supercooled phase transitions.
Comments42 pages, 3 figures
