$θ$-dependence of QCD at Finite Isospin Density

Abstract

We probe the $θ$-dependence of QCD at finite isospin chemical potential $μ_I$ using the effective chiral Lagrangian approach. The phase diagram in the $θ$, $μ_I$ 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 $μ_I$ is computed.

14 pages, 2 figures