7 problems

For each model considered in the paper, let $\lambda_{\mathrm{c}}$ be its transition point and let $\lambda_{\mathrm{exp}}$ be the point at which quasi-long-range order occurs. Cri…

Let $s$ be a direction and let $G_\lambda(0,ns)$ be the corresponding 2-point function. Let $\lambda_{\mathrm{sat}}(s)$ denote the saturation threshold, and let $\psi$ be the sub-e…

Let $G_\lambda(0,ns)$ be the 2-point function in direction $s$, and let $\nu_s(\lambda)$ be the corresponding inverse correlation length. For…

For a direction $s$, let $\lambda_{\mathrm{sat}}(s)$ be the saturation threshold and let $\nu_s(\lambda)$ denote the inverse correlation length. Continuity conjecture. Assume that…

For a direction $s$, let $\lambda_{\mathrm{sat}}(s)$ be the saturation threshold and let $\lambda_{\mathrm{exp}}$ be the threshold for quasi-long-range order. Let $\nu_s(\lambda)$…

Let $G_\lambda(x,y)$ denote the relevant 2-point function for each model, with transition point $\lambda_{\mathrm{c}}$ and quasi-long-range-order threshold $\lambda_{\mathrm{exp}}$…

Let the triangular plaquette model (TPM) be considered at inverse temperature $\beta$. A static and dynamic correlation length is a length scale governing both static and dynamical…