LATTICE STRUCTURE OF THE GLUON FIELD CONDENSATE IN A THEORY WITH THE CHERN-SIMONS MASS

In two-dimensional SU(2) gluodynamics with the Chern-Simons mass a gro und state in a magnetic field is derived. This vacuum is found to be t he lattice of the new type formed from periodic magnetic and electric fields which corresponds to Abrikosov's lattice in superconductivity. It is realized uniquely due to the mass presence. In contrast to super conductivity the solution is determined in the class of stationary (no t static) functions of charged gluon components and is realized in the case of small mass. The normalization condition, distribution of char ge and currents, magnetic and electric fields, magnetic induction, and energy density are calculated. It is shown that this structure is ene rgetically favorable. It can be realized spontaneously.