Spectrally cut-off GFF, regularized ${\Phi }^4$ measure, and reflection positivity

Ismael Bailleul, Nguyen Viet Dang, Léonard Ferdinand +2

We argue that the spectrally cut-off Gaussian free field ${\Phi }_{\Lambda }$ on a compact Riemannian manifold or on ${\mathbb{R}}^n$ cannot satisfy the spatial Markov property. Moreover, when the…