A recent study has shown that finite-momentum instabilities in inhomogeneous chiral phases of dense matter are an intrinsic property of the medium and not an artifact of the regularization methods used. Traditionally, the extent of these phases, predicted by effective models of quantum chromodynamics (QCD), exhibited high sensitivity to ultraviolet regularization. This work, using the two-flavor Nambu-Jona-Lasinio (NJL) model, reveals that this dependence is largely artificial, unifying the results of different regularization schemes.

Researchers observed that conventional implementations of three-dimensional cutoff, Pauli-Villars, and proper-time regularization produced markedly different finite-momentum instability regions. However, by restricting ultraviolet regulators to genuinely divergent vacuum contributions, all three prescriptions yielded nearly identical stability diagrams. This means that both the onset of the "moat" regime and the subsequent finite-momentum instability become quantitatively robust.

The apparent scheme dependence originated from the way ultraviolet-finite medium contributions, associated with the Fermi-surface response, were handled. By correcting this approach, the study identifies spatially modulated chiral correlations as an authentic feature of dense matter, rather than merely a product of the ultraviolet prescription. This finding is crucial for a more precise understanding of hadronic matter under extreme conditions, such as those found inside neutron stars.