强相变的有效场论
Effective field theory for strong phase transitions
- University of Nottingham（诺丁汉大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
针对高温维数约化失效的强相变，构建三维非多项式依赖的可控微扰有效场论，经双标量模型验证其重整化标度可抵消且潜热修正随阶数增大而减小，可扩展至含费米子与规范场的模型以系统改进强相变热力学。
AI中文摘要：
我们展示了如何为强相变构建微扰有效场论，其中高温维数约化的标准工具失效。通过确定耦合、质量和背景场的相关幂次计数关系，我们构建了适用于该 regime 的可控微扰展开。我们发现，即使需要对大外场进行重求和，序参量场在相变时仍保持轻量，因此存在可控的导数展开。由此得到的强相变有效场论处于三维空间，且具有非多项式场依赖。将我们的框架应用于双标量模型，我们验证了次领头阶（next-to-next-to-leading order）的重整化标度抵消，并发现随着微扰阶数增加，潜热的修正逐渐减小。扩展到包含费米子和规范场的情况，我们确定了一大类模型，其中强相变热力学可系统地改进。
英文摘要：
We show how to construct perturbative effective field theories for strong phase transitions, where the standard tools of high-temperature dimensional reduction fail. By identifying the relevant power counting relations for the couplings, masses and background fields, we construct a controlled perturbative expansion adapted to this regime. We find that the order parameter field remains light at the transition, so that there is a controlled derivative expansion, even though large external fields need to be resummed. The resulting effective field theories for strong phase transitions live in three dimensions and have nonpolynomial field dependence. Applying our framework to a two-scalar model, we verify renormalisation scale cancellation through next-to-next-to-leading order and find decreasing corrections to the latent heat as the perturbative order is increased. Extending to include fermions and gauge fields, we identify a broad class of models in which strong-transition thermodynamics are systematically improvable.
