Remarks on the confinement in the G(2) gauge theory using the thick center vortex model

The confinement problem is studied using the thick center vortex model. It is shown that the [Formula: see text] Cartan subalgebra of the decomposed [Formula: see text] gauge theory can play an important role in the confinement. The Casimir eigenvalues and ratios of the [Formula: see text] representations are obtained using its decomposition to the [Formula: see text] subgroups. This leads to the conjecture that the [Formula: see text] subgroups also can explain the [Formula: see text] properties of the confinement. The thick center vortex model for the [Formula: see text] subgroups of the [Formula: see text] gauge theory is applied without the domain modification. Instead, the presence of two [Formula: see text] vortices with opposite fluxes due to the possibility of decomposition of the [Formula: see text] Cartan subalgebra to the [Formula: see text] groups can explain the properties of the confinement of the [Formula: see text] group both at intermediate and asymptotic distances which is studied here.