Spin alignment of vector mesons in local equilibrium by Zubarev's approach
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910764837634048 |
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| author | Yang, Shi-Zheng Xie, Xin-Qing Pu, Shi Gao, Jian-Hua Wang, Qun |
| author_facet | Yang, Shi-Zheng Xie, Xin-Qing Pu, Shi Gao, Jian-Hua Wang, Qun |
| contents | We compute the $00$ element of the spin density matrix, denoted as $ρ_{00}$ and called the spin alignment, up to the second order of the gradient expansion in local equilibrium by Zubarev's approach. In the first order, we obtain $ρ_{00}=1/3$, meaning that the contributions from thermal vorticity and shear stress tensor are vanishing. The non-vanishing contributions to $ρ_{00}-1/3$ appear in the second order of gradients in the Belinfante and canonical cases. We also discuss the properties of the spin density matrix under the time reversal transformation. The effective transport coefficient for the spin alignment induced by the thermal shear stress tensor is T-odd in the first order, implying that the first order effect is dissipative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin alignment of vector mesons in local equilibrium by Zubarev's approach Yang, Shi-Zheng Xie, Xin-Qing Pu, Shi Gao, Jian-Hua Wang, Qun High Energy Physics - Phenomenology Nuclear Theory We compute the $00$ element of the spin density matrix, denoted as $ρ_{00}$ and called the spin alignment, up to the second order of the gradient expansion in local equilibrium by Zubarev's approach. In the first order, we obtain $ρ_{00}=1/3$, meaning that the contributions from thermal vorticity and shear stress tensor are vanishing. The non-vanishing contributions to $ρ_{00}-1/3$ appear in the second order of gradients in the Belinfante and canonical cases. We also discuss the properties of the spin density matrix under the time reversal transformation. The effective transport coefficient for the spin alignment induced by the thermal shear stress tensor is T-odd in the first order, implying that the first order effect is dissipative. |
| title | Spin alignment of vector mesons in local equilibrium by Zubarev's approach |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2412.19400 |