Spin Hall effect and Berry curvature of gravitons from quantum field theory
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911698470830080 |
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| author | Ito, Ritsuki Mameda, Kazuya Yamamoto, Naoki |
| author_facet | Ito, Ritsuki Mameda, Kazuya Yamamoto, Naoki |
| contents | Based on quantum field theory of linearized gravity, we formulate the Wigner function for right- and left-handed gravitons. By applying the Wigner transformation to the second-order metric perturbations in the graviton energy-momentum tensor obtained from the Einstein-Hilbert action, we demonstrate the emergence of the spin Hall effect of gravitons in curved spacetime. This effect originates from the Berry curvature of gravitons, which has opposite signs for right- and left-handed helicities, and leads to a helicity-dependent splitting of the graviton energy Hall current. The magnitude of this splitting is found to be exactly twice that of the corresponding spin Hall current for photons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19817 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spin Hall effect and Berry curvature of gravitons from quantum field theory Ito, Ritsuki Mameda, Kazuya Yamamoto, Naoki High Energy Physics - Theory Mesoscale and Nanoscale Physics General Relativity and Quantum Cosmology Optics Based on quantum field theory of linearized gravity, we formulate the Wigner function for right- and left-handed gravitons. By applying the Wigner transformation to the second-order metric perturbations in the graviton energy-momentum tensor obtained from the Einstein-Hilbert action, we demonstrate the emergence of the spin Hall effect of gravitons in curved spacetime. This effect originates from the Berry curvature of gravitons, which has opposite signs for right- and left-handed helicities, and leads to a helicity-dependent splitting of the graviton energy Hall current. The magnitude of this splitting is found to be exactly twice that of the corresponding spin Hall current for photons. |
| title | Spin Hall effect and Berry curvature of gravitons from quantum field theory |
| topic | High Energy Physics - Theory Mesoscale and Nanoscale Physics General Relativity and Quantum Cosmology Optics |
| url | https://arxiv.org/abs/2605.19817 |