  In this chapter, we discuss several aspects of the theory of strong
interactions in presence of a strong magnetic background. In particular, we
summarize our results on the effect of the magnetic background on chiral
symmetry restoration and deconfinement at finite temperature. Moreover, we
compute the magnetic susceptibility of the chiral condensate and the quark
polarization at zero temperature. Our theoretical framework is given by chiral
models: the Nambu-Jona-Lasinio (NJL), the Polyakov improved NJL (or PNJL) and
the Quark-Meson (QM) models. We also compare our results with the ones obtained
by other groups.
