Limitations on the uses of Euclidean semiclassical methods
Limitations on the uses of Euclidean semiclassical methods
复制标题
欧几里得半经典方法的使用限制
DOI：
--
复制
发表时间：
1979
期刊：
影响因子：
--
通讯作者：
J. Willemsen
中科院分区：
文献类型：
--
作者：
J. Willemsen
研究了基于欧几里得运动方程解的半经典方法在四次势情况下的分解。该模型是非平凡的，但足够易于处理，因此可以清楚地说明仔细处理非高斯波动模式的技术。一旦稀气近似失效，这种波动如何使人们不能采用半经典方法。关于这些结果与量子色动力学的相关性，提出了推测。
The breakdown of semiclassical methods based on solutions of the Euclidean equations of motion is studied for the case of the quartic potential. The model is nontrivial, yet sufficiently tractable that techniques for careful treatment of non-Gaussian fluctuation modes can be illustrated clearly. It is shown how such fluctuations prohibit one from employing the semiclassical method once the dilute-gas approximation becomes invalid. Speculations are advanced regarding the relevance of these results to quantum chromodynamics.