Cold magnetized quark matter at finite density in a nonlocal chiral quark model

We study the behavior of two-flavor dense quark matter under influence an external magnetic field in framework a nonlocal chiral model with separable interactions. The nonlocality is incorporated by using Gaussian form factor. It found that for low and moderate values there decrease critical restoration chemical potential $$\mu _c$$ , i.e. inverse catalysis effect observed. For larger eB becomes more or less flat, depending on parametrization. Within considered parametrization range we do not find significant growth large fields, as occurs case local NJL model.