二维环面上指数/三角相互作用下与随机量子化有关的Dirichlet算子的强唯一性
Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus
摘要：
我们考虑具有指数/三角相互作用的时空量子场。在欧几里德量子场论中，前者和后者分别被称为Hoegh-Krohn模型和Sine-Gordon模型。本文的主要目的是构造无限维扩散过程，利用Dirichlet形式方法求解二维环面上这些量子场的修正随机量子化方程，并证明相应Dirichlet算子的强唯一性.
英文摘要：
We consider space-time quantum fields with exponential/trigonometric interactions. In the context of Euclidean quantum field theory, the former and the latter are called the Hoegh-Krohn model and the Sine-Gordon model, respectively. The main objective of the present paper is to construct infinite dimensional diffusion processes which solve modified stochastic quantization equations for these quantum fields on the two-dimensional torus by the Dirichlet form approach and to prove strong uniqueness of the corresponding Dirichlet operators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
