2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183263As a tool to carry out the quantization of gauge theory on a noncommutative space, we present a Dirac operator that behaves as a line element of the canonical noncommutative space. Utilizing this operator, we construct the Dixmier trace, which is the regularized trace for infinite-dimensional matrices. We propose the possibility of solving the cosmological constant problem by applying our gauge theory on the noncommutative space.2 figures, final versionHigh Energy Physics - Theorytext