# Emergent QCD Kondo effect in two-flavor color superconducting phase

## TL;DR

This paper predicts a novel Kondo effect in the two-flavor color superconducting phase of quark matter, where intrinsic gapped quasiexcitations induce strong-coupling behavior similar to impurity-driven Kondo phenomena.

## Contribution

It introduces the concept of a 2SC Kondo effect arising from intrinsic quark excitations, without the need for external impurities, and analyzes its renormalization-group flow.

## Key findings

- Coupling strengths evolve into strong-coupling near the Fermi surface.
- Logarithmic quantum corrections significantly renormalize interactions.
- A new Kondo effect mechanism intrinsic to the 2SC phase is proposed.

## Abstract

We show that effective coupling strengths between ungapped and gapped quarks in the two-flavor color superconducting (2SC) phase are renormalized by logarithmic quantum corrections. We obtain a set of coupled renormalization-group (RG) equations for two distinct effective coupling strengths arising from gluon exchanges carrying different color charges. The diagram of RG flow suggests that both of the coupling strengths evolve into a strong-coupling regime as we decrease the energy scale toward the Fermi surface. This is a characteristic behavior observed in the Kondo effect, which has been known to occur in the presence of impurity scatterings via non-Abelian interactions. We propose a novel Kondo effect emerging without doped impurities, but with the gapped quasiexcitations and the residual SU(2) color subgroup intrinsic in the 2SC phase, which we call the 2SC Kondo effect.