论文标题
一阶相变的成核速率的收敛性
Convergence of the nucleation rate for first-order phase transitions
论文作者
论文摘要
本文研究了辐射校正对一阶相变的重要性,特别关注泡泡核速率。所有计算均通过严格的功率计算完成,并且在每个顺序都始终计算可观察物。这样可以确保物理数量是量规和重新归一化规模的不变性。此外,为了避免在高温下进行大的对数,使用了有效的三维理论。这种有效的理论自动结合了高阶热量。本文的结果表明,对速率的子领先校正可能很大。这部分是因为大气泡的辐射校正得到了增强。为了说明计算,考虑了三个模型:一个实量表模型,一个辐射式轰炸模型以及具有有效尺寸$ 6 $运算符的模型。计算每个模型的相关可观察物,并讨论了扰动理论的可靠性。
This paper investigates the importance of radiative corrections for first-order phase transitions, with particular focus on the bubble-nucleation rate. All calculations are done with a strict power-counting, and observables are consistently calculated at every order. This ensures that physical quantities are gauge and renormalization-scale invariant. Furthermore, to avoid large logarithms at high-temperatures, an effective three-dimensional theory is used. This effective theory automatically incorporates higher-order thermal masses. The results of this paper indicate that sub-leading corrections to the rate can be large. This is partly because radiative corrections are enhanced for large bubbles. To illustrate the calculations, three models are considered: a real-scalar model, a radiative-barrier model, and a model with an effective dimension $6$ operator. Relevant observables are calculated for each model, and the reliability of perturbation theory is discussed.