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- W4383852726 abstract "In this paper we study the perturbation theory of Φ24 model on the whole plane via stochastic quantization. We use integration by parts formula (i.e., Dyson–Schwinger equations) to generate the perturbative expansion for the k-point correlation functions, and prove bounds on the remainder of the truncated expansion using PDE estimates; this in particular proves that the expansion is asymptotic. Furthermore, we derive short distance behaviors of the 2-point function and the connected 4-point function, also via suitable Dyson–Schwinger equations combined with PDE arguments." @default.
- W4383852726 created "2023-07-11" @default.
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- W4383852726 date "2023-08-01" @default.
- W4383852726 modified "2023-09-26" @default.
- W4383852726 title "An SPDE approach to perturbation theory of Φ24: Asymptoticity and short distance behavior" @default.
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- W4383852726 doi "https://doi.org/10.1214/22-aap1873" @default.
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