标题： 相干态路径积分揭示热场理论中意想不到的真空结构 显示英文标题

标题： Coherent State Path Integral Reveals Unexpected Vacuum Structure in Thermal Field Theory

摘要： 我们使用相干态构建自由标量热场理论的划分函数的路径积分公式，首先在阶梯算符基下，然后在场算符基下。 在此过程中，我们首次在量子场论中提供了场基相干态和阶梯基相干态之间的映射。 使用任一基，都会发现通常路径积分推导中遗漏的项，我们将这些项识别为真空能量对划分函数的贡献。 然后我们将场基相干态方法扩展到相互作用的$\phi^4$理论。 除了真空能量贡献外，还会发现一种真空期望值与质量项的耦合，这在现有文献中是不存在的。 显示英文摘要

摘要： We construct the path integral formulation of the partition function for a free scalar thermal field theory using coherent states, first in the ladder operator basis and then in the field operator basis. In so doing, we provide for the first time a mapping in quantum field theory between the field-basis coherent states and ladder-basis coherent states. Using either basis, one finds terms missed in the usual path integral derivation, which we identify as the vacuum energy contribution to the partition function. We then extend the field-basis coherent state method to the interacting $\phi^4$ theory. In addition to the vacuum energy contribution, one finds a coupling of a vacuum expectation value to the mass term that is absent in the existing literature.