Critical behavior of systems with long-range interaction in restricted geometry

The present review is devoted to the problems of finite-size scaling due to the presence of long-range interaction decaying at large distance as $1/r^{d+\sigma}$, $\sigma>0$. The attention is focused mainly on the renormalization group results in the framework of ${\cal O}(n)$ $\phi^{4}$ - theory for systems with fully finite (block) geometry under periodic boundary conditions. Some bulk critical properties and Monte Carlo results also are reviewed. Special attention is paid to the description of the adequate mathematical technique that allows to treat the long-range and short-range interactions on equal ground. The role of the cutoff effects is also discussed, since they imitate long-range interaction's effects. The review closes with short discussion of some open problems.