We present a renormalization-group (RG) flow argument for s-wave kaon
condensation in dense nuclear-star matter predicted in chiral perturba
tion theory. It is shown that it is the relevant mass term together wi
th any attractive interaction for the kaon in medium that triggers the
instability. We show that a saddle point of multi-dimensional RG flow
can imply a phase transition. Pion condensation is also analyzed alon
g the same line of reasoning.