Conformal field theory analysis of the QCD Kondo effect

Abstract

We study nonperturbative aspects of the QCD Kondo effect, which has been recently proposed for the finite density and strong magnetic field systems, using conformal field theory describing the low-energy physics near the IR fixed point. We clarify the symmetry class of the QCD Kondo effect for both the finite density and magnetic field systems and show how the IR fixed point is nonperturbatively characterized by the boundary condition, which incorporates the impurity effect in the Kondo problem. We also obtain the low-temperature behavior of several quantities of the QCD Kondo effect in the vicinity of the IR fixed point based on the conformal field theory analysis.