Existence, uniqueness, and universality of global dynamics for the fractional hyperbolic ${\Phi }_3^4$-model

Ruoyuan Liu, Nikolay Tzvetkov, Yuzhao Wang

We study the fractional ${\Phi }_3^4$-measure (with order $\alpha >1$) and the dynamical problem of its canonical stochastic quantization: the three-dimensional stochastic damped fractional n…