Weyl anomaly induced transport in hydrodynamics
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911623693729792 |
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| author | Yang, Shi-Zheng Gao, Jian-Hua Liang, Zuo-Tang Prokhorov, Georgy Yu. Pu, Shi Teryaev, Oleg V. Zakharov, Valentin I. |
| author_facet | Yang, Shi-Zheng Gao, Jian-Hua Liang, Zuo-Tang Prokhorov, Georgy Yu. Pu, Shi Teryaev, Oleg V. Zakharov, Valentin I. |
| contents | We show that the Weyl (trace) anomaly gives rise to a new non-dissipative vector current in accelerated relativistic fluids. The anomaly uniquely fixes the second-order transport coefficient governing the coupling between the electromagnetic field and the fluid acceleration. We derive this result by extending hydrodynamic anomaly matching to include the trace anomaly, and independently reproduce it in boundary quantum field theory by treating the Rindler horizon of an accelerated observer as an effective boundary. From the boundary perspective, the electric- and magnetic-field sectors correspond to screening and vacuum magnetization effects near the boundary. In the local rest frame, the electric-field contribution induces an additional charge density, while the magnetic-field contribution generates a transverse current with a Nernst-like, more generally thermomagnetic Hall-like, tensor structure. Our results reveal a new class of anomaly-induced transport governed by the trace anomaly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23849 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weyl anomaly induced transport in hydrodynamics Yang, Shi-Zheng Gao, Jian-Hua Liang, Zuo-Tang Prokhorov, Georgy Yu. Pu, Shi Teryaev, Oleg V. Zakharov, Valentin I. High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory We show that the Weyl (trace) anomaly gives rise to a new non-dissipative vector current in accelerated relativistic fluids. The anomaly uniquely fixes the second-order transport coefficient governing the coupling between the electromagnetic field and the fluid acceleration. We derive this result by extending hydrodynamic anomaly matching to include the trace anomaly, and independently reproduce it in boundary quantum field theory by treating the Rindler horizon of an accelerated observer as an effective boundary. From the boundary perspective, the electric- and magnetic-field sectors correspond to screening and vacuum magnetization effects near the boundary. In the local rest frame, the electric-field contribution induces an additional charge density, while the magnetic-field contribution generates a transverse current with a Nernst-like, more generally thermomagnetic Hall-like, tensor structure. Our results reveal a new class of anomaly-induced transport governed by the trace anomaly. |
| title | Weyl anomaly induced transport in hydrodynamics |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2604.23849 |