Instead of assuming that they depend only on the background variables, we investigate the hypothesis that counter-terms appearing in the deformed algebra approach to loop quantum cosmology depend on the full phase-space variables. We derive the associated anomalies and solve the entire system in several specific cases. New restrictions on the generalized holonomy corrections are obtained.
@article{arxiv.2506.14308,
title = {Anomaly freedom in effective Loop Quantum Cosmology refined: extended functional dependence of the counter-terms},
author = {Maxime De Sousa and Aurélien Barrau and Killian Martineau},
journal= {arXiv preprint arXiv:2506.14308},
year = {2025}
}