Comment on the ``$θ$-term renormalization in the (2+1)-dimensional $CP^{N-1}$ model with $θ$ term''

Abstract

It is found that the recently published first coefficient of nonzero $β$-function for the Chern-Simons term in the $1/N$ expansion of the $CP^{N-1}$ model is untrue numerically. The correct result is given. The main conclusions of Park's paper are not changed.