Phase transitions for fractional $\hat{I}{¦}_d^3$ on the torus

Niko Nikov

We consider the fractional $\hat{I}{¦}_d^3$-measure on the $d$-dimensional torus, with Gaussian free field having inverse covariance $(1-\hat{I}”{)}^{\hat{I}}\pm$, and show a phase transition at $d=3\hat{I}\pm$. Mo…