We consider a quantum field model with exponential interactions on the two- dimensional torus, which is called the exp(ψ)2-quantum field model or Høegh- Krohn's model. In the present paper, we study the stochastic quantization of this model by singular stochastic partial differential equations, which is recently developed. By the method, we construct a unique time-global solution and the invariant probability measure of the corresponding stochastic quantization equation, and identify with an infinite-dimensional diffusion process, which has been constructed by the Dirichlet form approach.
|Publication status||Published - 2019 Jul 18|
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