Title: ON THE CRITICAL BEHAVIOUR OF RANDOM ANISOTROPY MAGNETS
Author(s): M.Dudka (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine), R.Folk (Institut f\"ur Theoretische Physik, Johannes Kepler Universit\"{a}t Linz, A-4040 Linz, Austria), Yu.Holovatch (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine; Ivan Franko National University of Lviv, 12 Drahomanov Str., 79005 Lviv, Ukraine)

The effect of a local anisotropy of random orientation on a ferromagnetic phase transition is studied. To this end, a model of a random anisotropy magnet is analysed by means of a field theoretical renormalization group approach. The one-loop result of Aharony about the absence of a 2nd order phase transition for isotropic distribution of random anisotropy axis at space dimension $d<4$ is corroborated.

Key words: random anisotropy, renormalization group, critical exponents
PACS: 61.43.-j, 64.60.Ak