Classification of color superconductivity by one-gluon exchange helicity amplitudes and renormalization group equations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908504709660672 |
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| author | Fujimoto, Yuki |
| author_facet | Fujimoto, Yuki |
| contents | Quark matter at high baryon density exhibits diverse pairing patterns classified by color, flavor, and angular momentum quantum numbers. We compute one-gluon exchange (OGE) helicity amplitudes and introduce a nonrelativistic classification of the pairing channel, justified by the channel decomposition in a Lorentz-noninvariant medium and the decoupling of renormalization group flows at leading order. We find the new attractive channel in OGE; the medium effects can render the vacuum-repulsive color $\boldsymbol{6}$ channel attractive in the spin-triplet sector. For color $\boldsymbol{\bar{3}}$ with antisymmetric flavor, the dominant pairing is ${}^1S_0$, while for symmetric flavor the same-helicity $^1P_1$ prevails over $^3S_1$, revising the conventional single-flavor picture. With a mismatch of the Fermi momenta, $^1S_0$ channel, leading to color-flavor locked or two-flavor color superconductor, remains most stable when the separation is small, and the color-spin locked pairing becomes favored as the mismatch gets large. We suggest there are possible quark-hadron continuity in certain cases as expected in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of color superconductivity by one-gluon exchange helicity amplitudes and renormalization group equations Fujimoto, Yuki High Energy Physics - Phenomenology Nuclear Theory Quark matter at high baryon density exhibits diverse pairing patterns classified by color, flavor, and angular momentum quantum numbers. We compute one-gluon exchange (OGE) helicity amplitudes and introduce a nonrelativistic classification of the pairing channel, justified by the channel decomposition in a Lorentz-noninvariant medium and the decoupling of renormalization group flows at leading order. We find the new attractive channel in OGE; the medium effects can render the vacuum-repulsive color $\boldsymbol{6}$ channel attractive in the spin-triplet sector. For color $\boldsymbol{\bar{3}}$ with antisymmetric flavor, the dominant pairing is ${}^1S_0$, while for symmetric flavor the same-helicity $^1P_1$ prevails over $^3S_1$, revising the conventional single-flavor picture. With a mismatch of the Fermi momenta, $^1S_0$ channel, leading to color-flavor locked or two-flavor color superconductor, remains most stable when the separation is small, and the color-spin locked pairing becomes favored as the mismatch gets large. We suggest there are possible quark-hadron continuity in certain cases as expected in the literature. |
| title | Classification of color superconductivity by one-gluon exchange helicity amplitudes and renormalization group equations |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2508.19222 |