An SPDE approach to perturbation theory of \(\Phi_2^4\): asymptoticity and short distance behavior (Q6109920)

The perturbation theory is studied for the \(\Phi_2^4\) model on the whole plane via stochastic quantization, where the perturbative expansion for the \(k\)-point correlation functions is generated by using integration by parts formulae (i.e., Dyson-Schwinger equations), and the remainder of the truncated expansion is bounded by using PDE estimates. Moreover, by using Dyson-Schwinger equations and PDE arguments, short distance behavior is characterized for the 2-point function and the connected 4-point function.