关于假真空的衰减率
On the Decay Rate of the False Vacuum
摘要：
用半经典路径积分方法发展了四次势场中亚稳性的有限尺寸理论。在量子区域，温度和经典粒子能量之间的关系被发现在第一个完整的椭圆积分。在sphaleron能量下，恢复了定义量子区扩展的判据。在后者中，温度对涨落谱的影响由泛函行列式方法评估和计算。通过求解Lamè方程确定了引起亚稳性的本征值作为尺寸/温度的函数。基态寿命与无限尺寸理论的结果有很大的偏差。
英文摘要：
The finite size theory of metastability in a quartic potential is developed by the semiclassical path integral method. In the quantum regime, the relation between temperature and classical particle energy is found in terms of the first complete elliptic integral. At the sphaleron energy, the criterion which defines the extension of the quantum regime is recovered. Within the latter, the temperature effects on the fluctuation spectrum are evaluated by the functional determinants method and computed. The eigenvalue which causes metastability is determined as a function of size/temperature by solving a Lamè equation. The ground state lifetime shows remarkable deviations with respect to the result of the infinite size theory.
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