混合部分 dressing：在所有温度下修正有效势
Hybrid Partial Dressing: Correct Effective Potentials at All Temperatures
- University of Toronto（多伦多大学）
- Duke University（杜克大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出混合部分 dressing（HPD）图解重求和方案，用于标量场论有限温度有效势，在所有温度下两环精确且避免重叠动量问题，可精确重现高温区维度约化势，适用于标准模型外强一级相变研究。
AI中文摘要：
我们发展了混合部分 dressing（HPD），一种用于标量场论中有限温度有效势的简单图解重求和方案，该方案在所有温度下均有效。HPD 改进了早期的重求和方案，如 Daisy 重求和和部分 dressing，它在所有温度下都是两环精确的，并且避免了重叠动量问题。重整化群改进易于实现。我们在具有自发破缺的 $\mathbb{Z}_2$ 对称性的多标量理论中展示了该方案，并将其与现有方法进行比较，特别表明它在高温区域（DR 适用）精确重现两环维度约化（DR）势，同时在所有温度下保持有效。这使得 HPD 适用于标准模型之外强一级相变的普遍研究，正如我们通过 HPD 及其 RG 改进版本 RGHPD 的引力波预测所证明的那样。
英文摘要：
We develop Hybrid Partial Dressing (HPD), a simple diagrammatic resummation scheme for finite-temperature effective potentials in scalar field theory which is valid at all temperatures. HPD improves on earlier resummation schemes such as Daisy Resummation and Partial Dressing by being two-loop exact at all temperatures and free of the overlapping momentum problem. Renormalization group improvement is straightforward to implement. We illustrate the scheme in multi-scalar theories with a spontaneously broken $\mathbb{Z}_2$ symmetry, and compare it against existing approaches, showing in particular that it reproduces the two-loop Dimensional Reduction (DR) potential exactly in the high-temperature regime where DR applies, while remaining valid at all temperatures. This makes HPD suitable for the general study of strong first order phase transitions beyond the Standard Model, as we demonstrate through gravitational wave predictions from HPD and its RG-improved version, RGHPD.
