  We study two-color QCD in an external magnetic backround at finite
temperature using the Polyakov-loop extended two-flavor two-color NJL model. At
T=0, the chiral condensate is calculated and it is found to increase as a
function of the magnetic field $B$. In the chiral limit the deconfinement
transition lies below the chiral transition for nonzero magnetic fields $B$. At
the physical point, the two transitions seem to coincide for field strengths up
to $|qB|\approx 5m_{\pi}^2$ whereafter they split. The splitting between the
two increases as a function of $B$ in both the chiral limit and at the physical
point. In the range from zero magnetic field and $|qB|=20 m_{\pi}^2$, the
transition temperature for the chiral transition increases by approximately 35
MeV, while the transition temperature for deconfinement is essentially
constant.

High Energy Physics - Phenomenology;High Energy Physics - Theory;Nuclear Theory