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arXiv · 2505.01579

On the momentum of gluons in Lattice Gauge Theory (LGT)

Herbert Neuberger
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Abstract

Attempts to improve LGT simulation algorithms by Fourier space preconditioning have been handicapped by the gauge dependence of momenta, familiar from perturbation theory. The continuum theory has a gauge invariant energy-momentum density, indicating this to be a fake obstacle. While perturbation-theory momenta are evidently wrong for the task, momentum-transfer carried by gluons is physical. Simulations using these momenta may become practical in the near future thanks to recent progress in generative models, stochastic and/or deterministic.

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Herbert Neuberger. 2025-05-02. On the momentum of gluons in Lattice Gauge Theory (LGT). https://doi.org/10.1142/s0217751x25501234

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