Exact Wigner function for chiral spirals
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| author | Bhadury, Samapan Florkowski, Wojciech Kar, Sudip Kumar Mykhaylova, Valeriya |
| author_facet | Bhadury, Samapan Florkowski, Wojciech Kar, Sudip Kumar Mykhaylova, Valeriya |
| contents | The exact solution of the Dirac equation for fermions coupled to an external periodic chiral condensate (chiral spiral) is used to obtain the exact formula for the Wigner function (up to the quantum loop corrections). We find that the resulting expressions for various coefficients of the Wigner function exhibit properties that cannot be reproduced within the standard semiclassical expansion. The formula for the axial vector component of the Wigner function can be conveniently used to study spin polarization effects and illustrate connections between the spin density matrix and axial current. In particular, we find that during an adiabatic change of the periodic potential into a uniform one, the polarization vector is twisted from its original direction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03413 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact Wigner function for chiral spirals Bhadury, Samapan Florkowski, Wojciech Kar, Sudip Kumar Mykhaylova, Valeriya High Energy Physics - Phenomenology Nuclear Theory The exact solution of the Dirac equation for fermions coupled to an external periodic chiral condensate (chiral spiral) is used to obtain the exact formula for the Wigner function (up to the quantum loop corrections). We find that the resulting expressions for various coefficients of the Wigner function exhibit properties that cannot be reproduced within the standard semiclassical expansion. The formula for the axial vector component of the Wigner function can be conveniently used to study spin polarization effects and illustrate connections between the spin density matrix and axial current. In particular, we find that during an adiabatic change of the periodic potential into a uniform one, the polarization vector is twisted from its original direction. |
| title | Exact Wigner function for chiral spirals |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2504.03413 |