Rotational Symmetry and Regularization Dependence in the ${\mathrm{\Phi }}_4^4$-Model

We study the one component ${\mathrm{\Phi }}^4$ model for four different lattice actions in the Gaussian limit and for the Ising model in the broken phase. Emphasis is put on the euclidean invariance properties of the boson propagator. A measure of the violation of rotational symmetry serves as a tool to compare the regularization dependence of the triviality bound.