Lattice QCD at finite isospin density

We have simulated QCD at a finite chemical potential $μ_I$ for isospin ($I_3$) to probe part of the phase diagram for nuclear matter. Preliminary results suggest that for $μ_I > μ_c$, this theory forms a charged pion condensate which spontaneously breaks $I_3$, and the isospin density is non zero.

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