θ dependence of QCD at finite isospin density

We probe the θ dependence of QCD at finite isospin chemical potential μI using the effective chiral Lagrangian approach. The phase diagram in the θ, μI plane is constructed and described in detail in terms of chiral and pion condensates. The physics at θ∼π is investigated in both the normal and superfluid phase. Finally, the behaviour of the gluon condensate at finite μI is computed.