Zaslavs'kyj O. The vacuum of the topologically massive Yang-Mills fields at zero and finite temperature

The object of the research is the properties of the vacuum of the non-Abelian gauge field in 2+1 dimensions at zero and finite temperature with emphasis being put on the topological mass influence. The calculation of the effective one-loop gluon potential in a magnetic field has shown the possibility of stabilizing the vacuum polarization. The vacuum of massive gauge field has been found to be the periodic electromagnetic structure caused by a newly discovered mechanism that acts in the Chern-Simons mass presence. The vacuum lattice condensate can be generated spontaneously without external magnetic field, and persists at finite temperature. The effective lagrangian has been built that includes the Debye mass contribution. An exact finite energy vortex solution to the non-linear equation of motion has been found. The vortex corresponds either to a particle-like excitation above the lattice vacuum or, at high temperature, to the ground state of the model.