We perform Monte Carlo simulations of a lattice gauge system with an action
which contains two parallel plaquettes. The action is defined as a product of
gauge group variables over two parallel plaquettes belonging to a given
three-dimensional cube. The peculiar property of this system is that it has
strong degeneracy of the vacuum state inherited from corresponding gonihedric
Z2β gauge spin system. These vacuua are well separated and can not be
connected by a gauge transformation. We measure different observables in these
vacuua and compare their properties.Comment: 9 pages, 6 figures, Late