Abstract
We have derived a dual Lagrangian starting with the Ginzburg-Landau effective Lagrangian for the CFL phase, which include the interaction of non-Abelian vortices with quasi-particles such as U (1)_B phonons and gluons. Our dual Lagrangian can be used as a starting point to discuss the radiation of gluons and phonons from moving vortices, the vortex-vortex interaction which is mediated by gluons and phonons and possible collective structures of vortices such as lattices or the quantum turbulence.
