论文标题
与$ \ exp（φ）_2 $ - Quantum Field模型相关的随机量化，该模型由整个$ l^1 $ -RIGIME中的时空白噪声驱动
Stochastic quantization associated with the $\exp(Φ)_2$-quantum field model driven by space-time white noise on the torus in the full $L^1$-regime
论文作者
论文摘要
本文是我们以前关于二维圆环上$ \ exp（φ）_2 $ Quantum Field模型随机量化的工作的延续。利用高斯乘法混乱的关键特性，并完善了先前工作中引入的单数SPDE的方法，我们在完整的“ $ l^{1} $ -SQRT <\ vert <\ sqrt} $ caramiate paramiate中，我们构建了一个独特的时间 - 全球解决方案。我们还使用Dirichlet形式方法构建的无限二二维扩散过程识别解决方案。
The present paper is a continuation of our previous work on the stochastic quantization of the $\exp(Φ)_2$-quantum field model on the two-dimensional torus. Making use of key properties of Gaussian multiplicative chaos and refining the method for singular SPDEs introduced in the previous work, we construct a unique time-global solution to the corresponding parabolic stochastic quantization equation in the full "$L^{1}$-regime" $\vertα\vert<\sqrt{8π}$ of the charge parameter $α$. We also identify the solution with an infinite-dimensional diffusion process constructed by the Dirichlet form approach.
