Finite-Size Scaling and Long-Range Interactions

Abstract

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 $1/r^{d+\sigma }$, where $d$ is the spatial dimension and the long-range parameter $\sigma >0$. Classical and quantum systems are considered.

10 pages, Proceedings of the Bogolyubov Conference "Problems of Theoretical and Mathematical Physics", Moscow-Dubna, September 2-6, 2004