Wolodymyr SKRYPNIK
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str,
01601 Kyiv-4, UKRAINE
E-mail: skrypnik@imath.kiev.ua

Symmetries and order parameters

Several cases of breakdown of symmetries in systems of Statistical Mechanics and Lattice Gauge Theory are considered. Rigorous methods of proving of existence of long-range order and order parameters are reviewed.