2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50569In this paper we demonstrate that coordinate noncommutativity at short distances can show up in critical phenomena through UV-IR mixing. In the symmetric phase of the Landau-Ginsburg model, noncommutativity is shown to give rise to a non-zero anomalous dimension at one loop, and to cause instability towards a new phase at large noncommutativity. In particular, in less than four dimensions, the one-loop critical exponent $η$ is non-vanishing at the Wilson-Fisher fixed point.12 pages, 2 figures, the relevance of star product structure in low energy effective theory is clarified, the presentation is improvedHigh Energy Physics - Theorytext