Linear response theory for spin alignment of vector mesons in thermal media
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929264386899968 |
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| author | Dong, Wen-Bo Yin, Yi-Liang Sheng, Xin-Li Yang, Shi-Zheng Wang, Qun |
| author_facet | Dong, Wen-Bo Yin, Yi-Liang Sheng, Xin-Li Yang, Shi-Zheng Wang, Qun |
| contents | We present a calculation of the spin alignment for unflavored vector mesons in thermalized quark-gluon plasma based on the Kubo formula in linear response theory. This is achieved by expanding the system to the first order of the coupling constant and the spatial gradient. The effect strongly relies on the vector meson's spectral functions which are determined by the interaction and medium properties. The spectral functions are calculated for the one-quark-loop self-energy with meson-quark interaction. The numerical results show that the correction to the spin alignment from the thermal shear tensor is of the order $10^{-4}\sim10^{-5}$ for the chosen values of quark-meson coupling constant, if the magnitude of thermal shear tensor is $10^{-2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18400 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Linear response theory for spin alignment of vector mesons in thermal media Dong, Wen-Bo Yin, Yi-Liang Sheng, Xin-Li Yang, Shi-Zheng Wang, Qun High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We present a calculation of the spin alignment for unflavored vector mesons in thermalized quark-gluon plasma based on the Kubo formula in linear response theory. This is achieved by expanding the system to the first order of the coupling constant and the spatial gradient. The effect strongly relies on the vector meson's spectral functions which are determined by the interaction and medium properties. The spectral functions are calculated for the one-quark-loop self-energy with meson-quark interaction. The numerical results show that the correction to the spin alignment from the thermal shear tensor is of the order $10^{-4}\sim10^{-5}$ for the chosen values of quark-meson coupling constant, if the magnitude of thermal shear tensor is $10^{-2}$. |
| title | Linear response theory for spin alignment of vector mesons in thermal media |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2311.18400 |