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The scaling behavior of the order parameter at the chiral phase transition,the so-called magnetic equation of state, of strongly interacting matter isstudied within effective models. We explore universal and nonuniversalstructures near the critical point. These include the scaling functions, theleading corrections to scaling, and the corresponding size of the scalingwindow as well as their dependence on an external symmetry breaking field. Weconsider two models in the mean-field approximation, the quark-meson and thePolyakov loop extended quark-meson (PQM) models, and compare their criticalproperties with a purely bosonic theory, the $O(N)$ linear sigma model in the$N\rightarrow \infty$ limit. In these models the order parameter scalingfunction is found analytically using the high temperature expansion of thethermodynamic potential. The effects of a gluonic background on thenonuniversal scaling parameters are studied within the PQM model.

Scaling violation and the magnetic equation of state in chiral models