The infinite-range-interaction m-vector spin glass, in the presence of a un
iaxial anisotropy, as well as of an external magnetic field (both along the
same axis). is studied through the replica method. It is shown that the Ga
bay-Toulouse line, which signals the ordering of the transverse degrees of
freedom in the magnetic-field versus temperature plane, exhibits a reentran
t behavior. Possible connections with experimental observations are discuss
ed. (C) 1998 Elsevier Science B.V.