PreprintCC BY 4.0arXiv
Chiral Transport in Metric-Affine Geometries
Abstract
Anomalous transport in equilibrium fermionic fluids chirally coupled to background Weyl-type nonmetricity is studied. A formal descent analysis is carried out in which the dependence of the anomaly polynomial on the nonmetricity tensor is encoded in a Weyl invariant four-form. The constitutive relation of the axial-vector current is evaluated from the equilibrium partition function obtained using transgression techniques, showing the existence of nonmetricity-mediated chiral separation effects driven by the fluid's vorticity and the Weyl magnetic field. A second nonminimal coupling of fermionic matter to metric-affine geometries proposed in the literature is also discussed.
Versions
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BibTeX
@misc{vazquezmozo2026chiral,
title = {{Chiral Transport in Metric-Affine Geometries}},
author = {Miguel A. Vazquez-Mozo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.04841},
eprint = {2606.04841},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.04841},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Chiral Transport in Metric-Affine Geometries
AU - Miguel A. Vazquez-Mozo
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2606.04841
UR - https://arxiv.org/abs/2606.04841
AB - Anomalous transport in equilibrium fermionic fluids chirally coupled to background Weyl-type nonmetricity is studied. A formal descent analysis is carried out in which the dependence of the anomaly polynomial on the nonmetricity tensor is encoded in a Weyl invariant four-form. The constitutive relation of the axial-vector current is evaluated from the equilibrium partition function obtained using transgression techniques, showing the existence of nonmetricity-mediated chiral separation effects driven by the fluid's vorticity and the Weyl magnetic field. A second nonminimal coupling of fermionic matter to metric-affine geometries proposed in the literature is also discussed.
ER -