2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/41191Through two loop effective potential we demonstrate that the $\bar{MS}$ scheme of dimensional regularization and Jackiw's prescription in cut-off regularization allow for the dynamical breaking solution in massless $λϕ^4$ theory, while the Coleman-Weinberg prescription does not. The beta function of the broken phase is negative, like in the one loop effective potential, but the UV fixed point is not zero, i.e., not an asymptotic freedom solution, unlike the one loop case. Some related issues were briefly discussed.10 pages, LatexHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryQuantum PhysicsDynamical symmetry breaking of massless $λϕ^4$ and renormalization scheme dependencetext