A singular integration by parts formula for the exponential Euclidean QFT on the plane

Autor:	De Vecchi, Francesco C., Gubinelli, Massimiliano, Turra, Mattia
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematical Physics 60H17 81S20 81T08 28C20
Druh dokumentu:	Working Paper
Popis:	We give a novel characterization of the Euclidean quantum field theory with exponential interaction $\nu$ on $\mathbb{R}^2$ through a renormalized integration by parts (IbP) formula, or otherwise said via an Euclidean Dyson-Schwinger equation for expected values of observables. In order to obtain the well-posedness of the singular IbP problem, we import some ideas used to analyse singular SPDEs and we require the measure to "look like" the Gaussian free field (GFF) in the sense that a suitable Wasserstein distance from the GFF is finite. This guarantees the existence of a nice coupling with the GFF which allows to control the renormalized IbP formula. Comment: 78 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.05584 Zobrazit plný text záznamu View this record from Arxiv