Exploring gauge-fixing conditions with gradient-based optimization
<|reference_start|>Exploring gauge-fixing conditions with gradient-based optimization: Lattice gauge fixing is required to compute gauge-variant quantities, for example those used in RI-MOM renormalization schemes or as objects of comparison for model calculations. Recently, gauge-variant quantities have also been found to be more amenable to signal-to-noise optimization using contour deformations. These applications motivate systematic parameterization and exploration of gauge-fixing schemes. This work introduces a differentiable parameterization of gauge fixing which is broad enough to cover Landau gauge, Coulomb gauge, and maximal tree gauges. The adjoint state method allows gradient-based optimization to select gauge-fixing schemes that minimize an arbitrary target loss function.<|reference_end|>
@article{detmold2024exploring,
    title={Exploring gauge-fixing conditions with gradient-based optimization},
    author={William Detmold, Gurtej Kanwar, Yin Lin, Phiala E. Shanahan, Michael
  L. Wagman},
    journal={arXiv preprint arXiv:2410.03602},
    year={2024},
    number={MIT-CTP/5786},
    archivePrefix={arXiv},
    eprint={2410.03602},
    primaryClass={hep-lat cs.LG}
}