Spin-glass with long-range random exchange interaction

We consider the spin-glass (SG) with long-range (LR) random exchange interaction varying with distance $R$ as $R^{-\frac{d}{2}-\frac{\sigma }{2}}$, where $d$ is the space dimensionality and $\sigma >0\mathrm{}$. It is shown that the LR fixed point is stable if $\sigma <2\mathrm{}$. The nonclassical ($d<\mathrm{}3\mathrm{}\sigma$) LR critical exponents in powers of $3\sigma -d$ are not continuous at $\sigma =2\mathrm{}$ when the transition to short-range (SR) exchange is made.