AI 中文总结
研究早期宇宙强一阶相变产生随机引力波背景，利用2PI有效作用技术计算阿贝尔希格斯模型强相变次领头阶有效势，结果可由雏菊重求和势经幂次计数修改得到，且满足相关恒等式并与先前结果一致。
AI 中文摘要
有效势是预测早期宇宙中强一阶相变产生的随机引力波背景的关键要素。包括维数约化在内的用于稳健计算的既定技术依赖于高温展开，而对于能够在诸如LISA等下一代引力波探测器产生可观测背景的非常强的相变，这种展开预计会失效。我们认为现有的2PI有效作用技术能够对这种相变进行一致的重求和，并利用它们来计算阿贝尔希格斯模型在一般协变规范下强相变的次领头阶有效势。我们发现通过修改幂次计数可以从雏菊重求和势中恢复我们的结果，并明确表明它满足气泡成核率规范无关预测所需的领头阶尼尔森恒等式，且与小希格斯凝聚体的先前结果一致。
英文摘要
Effective potentials are a key ingredient for predicting stochastic gravitational wave backgrounds from strong first-order phase transitions in the early universe. Established techniques for a robust computation, including dimensional reduction, rely on a high-temperature expansion that is expected to break down for very strong transitions capable of producing observable backgrounds at next-generation gravitational wave detectors such as LISA. We argue that existing 2PI effective action techniques enable consistent resummation for such transitions, and use them to compute the next-to-leading order effective potential of the Abelian Higgs model for a strong transition in a general covariant gauge. We find that our result can be recovered from a Daisy resummed potential by modifying the power counting, and show explicitly that it satisfies the leading-order Nielsen identity needed for gauge-independent predictions of the bubble nucleation rate and is consistent with prior results for small Higgs condensates.
Comments27 pages, 3 figures
