Effective Theory for Color-Flavor Locking in high Density QCD

TL;DR

This paper develops a non-linear effective Lagrangian describing low energy excitations in the color-flavor locked phase of high-density QCD, highlighting the role of hidden gauge symmetry and complementarity between phases.

Contribution

It introduces a novel effective Lagrangian framework for the color-flavor locked phase, connecting low energy excitations with hidden gauge symmetry and phase complementarity.

Findings

Effective Lagrangian describes diquark condensate excitations.

Hidden gauge symmetry corresponds to color in the effective theory.

Supports the complementarity conjecture between phases.

Abstract

We describe the low energy excitations of the diquark condensates in the color-flavor locked phase of QCD with three massless flavors, at high baryon densities, in terms of a non-linear effective lagrangian. Such a lagrangian is formally seen to correspond to the lagrangian for the hidden gauge symmetry description of the effective low energy chiral lagrangian, the role of the hidden symmetry being played by color. In particular, this agrees with the conjecture that the light degrees of freedom of the two phases are in correspondence to each other (complementarity). The discussion includes consideration of the breaking of Lorentz invariance in presence of matter density.