Critical two-point function for long-range $O(n)$ models below the upper critical dimension

Martin Lohmann, Gordon Slade, Benjamin C. Wallace

We consider the $n$-component $|\phi {|}^4$ lattice spin model ($n\ge 1$) and the weakly self-avoiding walk ($n=0$) on ${\mathbb{Z}}^d$, in dimensions $d=1,2,3$. We study long-range model…