Spin polarization of fermions at local equilibrium: Second-order gradient expansion
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912195547234304 |
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| author | Sheng, Xin-Li Becattini, Francesco Huang, Xu-Guang Zhang, Zhong-Hua |
| author_facet | Sheng, Xin-Li Becattini, Francesco Huang, Xu-Guang Zhang, Zhong-Hua |
| contents | We present a calculation of the spin polarization of spin-1/2 fermions in a relativistic fluid at local thermodynamic equilibrium at the second order in the gradient expansion, including second-order derivatives. The second-order derivative terms vanish if the local equilibrium hypersurface is the hyperplane $t=const$ in the collision center-of-mass frame. However, since the freeze-out hypersurface has a non-trivial space-time structure, these terms may result in a non-vanishing contribution to the spin polarization, whose magnitude needs to be assessed with numerical computations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_12130 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin polarization of fermions at local equilibrium: Second-order gradient expansion Sheng, Xin-Li Becattini, Francesco Huang, Xu-Guang Zhang, Zhong-Hua High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory We present a calculation of the spin polarization of spin-1/2 fermions in a relativistic fluid at local thermodynamic equilibrium at the second order in the gradient expansion, including second-order derivatives. The second-order derivative terms vanish if the local equilibrium hypersurface is the hyperplane $t=const$ in the collision center-of-mass frame. However, since the freeze-out hypersurface has a non-trivial space-time structure, these terms may result in a non-vanishing contribution to the spin polarization, whose magnitude needs to be assessed with numerical computations. |
| title | Spin polarization of fermions at local equilibrium: Second-order gradient expansion |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2407.12130 |