Vv. Skalozub et al., SPONTANEOUS MAGNETIZATION OF THE VACUUM IN 2-DIMENSIONAL SU(2) GLUODYNAMICS WITH A CHERN-SIMONS TERM, Physics of atomic nuclei, 56(10), 1993, pp. 1425-1428
The effective potential V(eff) of an external constant Abelian chromom
agnetic field is calculated in the one-loop approximation in two-dimen
sional SU(2) gluodynamics with a Chem-Simons mass m. It is shown that
spontaneous vacuum magnetization arises for any finite value of the ma
ss, where, starting with some m, the field configuration in question i
s stable because the imaginary part of V(eff) vanishes. In contrast to
the massless case, for some m the potential V(eff) has two minima, an
d a phase transition between them becomes possible.