@misc{mameda2025quantum, title={Quantum Metric Corrections to Liouville's Theorem and Chiral Kinetic Theory}, author={Kazuya Mameda and Naoki Yamamoto}, year={2025}, eprint={2509.15731}, archivePrefix={arXiv}, primaryClass={hep-th}, url={https://arxiv.org/abs/2509.15731} }