LACK OF SCREENING IN THE CONTINUOUS DIPOLE SYSTEMS

We study continuous statistical systems interacting via a regularized dipole potential in the grand canonical ensemble. In the explicitly given region of high temperature (or low density) we show that the effective potential between two parallel dipoles is not absolutely integrable (it is, however, square integrable), which implies that the effective potential does not fall off faster than |x|-3 in some directions. © 1979 Springer-Verlag.