AI 中文总结
该研究运用哈密顿Floer理论证明带高斯随机场的粒子-场系统周期解的杯长存在性结果，以随机电动力学为具体模型，验证其在$\bar{h}$一阶下逼近量子电动力学、特定情形下精确的性质。
AI 中文摘要
我们运用哈密顿Floer理论，证明了一项关于带高斯随机场的粒子-场系统周期解存在性的杯长结果。作为具体模型，我们研究了随机电动力学：它在$\bar{h}$一阶近似下可逼近量子电动力学，在低阶哈密顿量情形或粒子被经典处理时甚至是精确的。
英文摘要
We use Hamiltonian Floer theory to prove a cuplength result about the existence of periodic solutions of particle-field systems with a Gaussian random field. As a concrete model we study stochastic electrodynamics, which approximates quantum electrodynamics up to first order in $\hbar$, and is even exact in the case of low-order Hamiltonians or when the particles are treated classically.
