Ukrainian mathematical congress  2009
Ivan Surzhikov (Bogoliubov Institute for Theoretical Physics of the NASU, Kyiv, Ukraine) Deconfinement phase transition in gauge theories with discrete symmetry We study the deconfinement phase transitions in threedimensional Z(N) gauge theory at finite temperature using formulation of the model on anisotropic lattice. In the strong coupling limit with respect to the spatial coupling the model can be reduced to a generalized version of 2D Z(N) spin model. When N is sufficiently large this model has two phase transitions, one of which is of the BerezinskiiKosterlitzThouless type and belongs to the U(1) universality class. We advance analytical arguments that the deconfinement phase transition in 3D Z(N) gauge model also is in the universality class of the twodimensional XY model.
