2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210235In this paper we find non-trivial vacuum states for the renormalizable non-commutative $ϕ^4$ model. An associated linear sigma model is then considered. We further investigate the corresponding spontaneous symmetry breaking.17 pagesHigh Energy Physics - TheoryMathematical Physicstext