On the small time asymptotics of the dynamical ${\mathrm{\Phi }}_1^4$ model

In this paper, we establish a small time large deviation principle (small time asymptotics) for the dynamical ${\mathrm{\Phi }}_1^4$ model, which not only involves study of the space-time white noise with intensity $\sqrt{\epsilon }$, but also the investigation of the effect of the small (with $\epsilon$) nonlinear drift.