Quantum Hall liquids in high-density QCD
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917956413292544 |
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| author | Nishimura, Kentaro Yamamoto, Naoki Yokokura, Ryo |
| author_facet | Nishimura, Kentaro Yamamoto, Naoki Yokokura, Ryo |
| contents | There exist metastable domain walls of the flavor-singlet meson $η$ for the ${\rm U}(1)$ axial symmetry in two-flavor color superconductivity (2SC) in QCD at large baryon density. We show that, due to the coupling of $η$ to confined ${\rm SU}(2)$ gluons in the 2SC phase, the effective theory on the domain wall is described by the ${\rm SU}(2)_{-1}$ Chern-Simons theory, which is dual to the ${\rm U}(1)_{2}$ Chern-Simons theory. This theory has a spin-1 droplet excitation that does not carry a baryon number, which we identify as a vector meson. We also discuss the effective theories and baryonic droplet excitations on the domain walls of the flavor-singlet mesons in the superfluid phases of QCD at large isospin density and two-color QCD at large baryon density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07665 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Hall liquids in high-density QCD Nishimura, Kentaro Yamamoto, Naoki Yokokura, Ryo High Energy Physics - Theory Mesoscale and Nanoscale Physics High Energy Physics - Phenomenology Nuclear Theory There exist metastable domain walls of the flavor-singlet meson $η$ for the ${\rm U}(1)$ axial symmetry in two-flavor color superconductivity (2SC) in QCD at large baryon density. We show that, due to the coupling of $η$ to confined ${\rm SU}(2)$ gluons in the 2SC phase, the effective theory on the domain wall is described by the ${\rm SU}(2)_{-1}$ Chern-Simons theory, which is dual to the ${\rm U}(1)_{2}$ Chern-Simons theory. This theory has a spin-1 droplet excitation that does not carry a baryon number, which we identify as a vector meson. We also discuss the effective theories and baryonic droplet excitations on the domain walls of the flavor-singlet mesons in the superfluid phases of QCD at large isospin density and two-color QCD at large baryon density. |
| title | Quantum Hall liquids in high-density QCD |
| topic | High Energy Physics - Theory Mesoscale and Nanoscale Physics High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2410.07665 |