Delineating chiral separation effect in two-color dense QCD

We study the chiral separation effect (CSE) in two-color and two-flavor QCD to delineate quasiparticle pictures in dense matter from low to high temperatures. Both massless and massive quarks are discussed. We particularly focus on the high density domain where diquarks form a color-singlet condensate with the electric charge 1/3. The condensate breaks the baryon number and U(1)(A) axial symmetry, and induces the electromagnetic Meissner effects. Within a quark quasiparticle picture, we compute the chiral separation conductivity at one-loop. We have checked that Nambu-Goldstone modes, which should appear in the improved vertices as required by the Ward-Takahashi identities, do not contribute to the chiral-separation conductivity due to their longitudinal natures. In the static limit, the destructive interferences in the particlehole channel, as in the usual Meissner effects, suppress the conductivity (in the chiral limit, to 1/3 of that of the normal phase). This locally breaks the universality of the CSE coefficients, provided quasiparticle pictures are valid in the bulk matter.

Automated summary

The study focuses on the chiral separation effect in two-color and two-flavor QCD, specifically in the high density domain where diquarks form a color-singlet condensate. The results show that Nambu-Goldstone modes do not contribute to the chiral-separation conductivity, and destructive interferences in the particle-hole channel suppress the conductivity in the static limit. This breaks the universality of the CSE coefficients locally.