Speaker
Description
In this talk, I will discuss the phase diagram at finite isospin density using
two and three flavor chiral perturbation theory. I will also discuss the quark and pion condensates in the pion-condensed phase at T=0. Moreover, the pion-condensed phase has many interesting properties. At small chemical potentials, the system behaves as a dilute nonrelativistic Bose gas with an effective s-wave scattering length given by
chiral perturbation theory. In the chiral limit, the Goldstone boson has an exact
linear dispersion relation. Using effective field theory methods, one can construct
a low energy theory for this massless modes. The couplings in this Lagrangian can be determined order by order using matching. The massless mode moves with a speed
slower than the speed of light due to the medium and renormalization effects
involving the s-quark.