2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/191823The structure of loop corrections is examined in a scalar field theory on a three dimensional space whose spatial coordinates are noncommutative and satisfy SU(2) Lie algebra. In particular, the 2- and 4-point functions in $ϕ^4$ scalar theory are calculated at the 1-loop order. The theory is UV-finite as the momentum space is compact. It is shown that the non-planar corrections are proportional to a one dimensional $δ$-function, rather than a three dimensional one, so that in transition rates only the planar corrections contribute.v1: 12 pages, LaTeX, submitted PLB, v2: missing 2πis restored in 4-point function; last paragraph improvedHigh Energy Physics - Theorytext