$\mathcal{P}(\Phi {)}_2$ Theory from many-body quantum Gibbs states

Phan Thành Nam, Zhilin Yang, Xiangchan Zhu

We derive the $\mathcal{P}(\Phi {)}_2$ measure on the two-dimensional unit torus as the rigorous limit of many-body quantum Gibbs states. In particular, the quantum model corresponding t…