Delineating chiral separation effect in two-color dense QCD

Daiki Suenaga (Research Center for Nuclear Physics, Osaka University, Ibaraki 567-0048, Japan) ; Toru Kojo (Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China)

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 particle-hole 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.

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      "source": "APS", 
      "value": "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 <math><mn>1</mn><mo>/</mo><mn>3</mn></math>. The condensate breaks the baryon number and <math><mi>U</mi><mo>(</mo><mn>1</mn><msub><mo>)</mo><mi>A</mi></msub></math> 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 particle-hole channel, as in the usual Meissner effects, suppress the conductivity (in the chiral limit, to <math><mn>1</mn><mo>/</mo><mn>3</mn></math> of that of the normal phase). This locally breaks the universality of the CSE coefficients, provided quasiparticle pictures are valid in the bulk matter."
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Published on:
31 August 2021
Publisher:
APS
Published in:
Physical Review D , Volume 104 (2021)
Issue 3
DOI:
https://doi.org/10.1103/PhysRevD.104.034038
arXiv:
2105.10538
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: